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Simple explanation of this nice fact from math. Math can be sometimes surprising, as well as elegant and pretty. Understanding this common geometric equation will help you out tremendously in math. The Pythagorean Theorem is basic geometry.
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In this math lesson we will investigate easy Pythagorean Theorem proofs and problems.
The Pythagorean Theorem takes place in a right triangle. The longest side in a right triangle is called hypotenuse, and the other two sides are called legs. The hypotenuse opposes the right angle.
According to the Pythagorean Theorem:
A squared + B squ...
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See how to solve world problems involving the Pythagorean theorem in geometry with this free video math lesson from Internet pedagogical superstar Simon Khan. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier th...
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The Pythagorean theorem allows you to work out the length of the third side of a right triangle when the other two are known. And more. It is named after Pythagoras of Samos, who discovered and proved it. He lived around 550 BC in Greece. There is no need to believe the theorem to be true, you can prove it, so you know it is. Suppose we have fou...
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In this video Ken teaches you about the Pythagorean Theorem. The Pythagorean Theorem is used to find the missing length of a side of a right triangle. By watching this video, you will learn how to find any the length of any side by using a simple mathematical formula. Ken walks you through various examples changing the dimensions of the triangle...
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The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder?
Donna's TV screen is 20 inches long. If the diagonal measures 25 inches, how long is the width of Donna's TV?
Town A is 9 miles from town B, and 12 miles from town C. A road connects towns B and C directly. Find ...
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The Pythagorean theorem is a simple theorem that states that - for a right angled triangle the square of the length of the hypotenuse is equal to the sum of the squares of the length of the remaining two sides.
In this video, a right angled triangle with three sides, namely a, b and c is shown. One side "a" is of unknown length. The length of...
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This lesson develops the Pythagorean Theorem and the measurement of triangles. It reinforces perfect squares and square roots. It is important to know the values of squared numbers from 1 to 20, how to factor square roots by hand, and common square root values without a calculator. The game here is to guess the hypotenuse by estimating with perf...
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From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps. With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how t...
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In this video the instructor talks about Pythagorean theorem and how to apply it to right triangles. Pythagorean theorem states that in any right triangle if a and b are the lengths of the legs and c is the length of the hypotenuse the sum of the squares of the lengths of the legs is equation to the square of the length of the hypotenuse. That i...
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Pythagoras was a smart man, so smart that his mathematical theory is named after him and still used today, more than 2,000 years later: the Pythagorean theorem. It implies that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. The Pythagorean theorem is a cornerstone of geometry. Here’s h...
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From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps. With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how t...
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Meet the Pythagorean theorem—an indispensable tool for any budding geometer. The Pythagorean theorem will allow you to measure the hypotenuse or any other side of a right triangle when the length of its other two sides are known. For specific, step-by-step instructions on how to use this useful formula, usually given as a^2+b^2=c^2, where c^2 is...
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The Pythagorean Theorem is one of the most important theories in mathematics. This theorum sounds scary but is actually quite simple. Essentially, what Pythagoras discovered was that, when dealing with the three sides of a triangle, A squared x B squared = C squared. If this theory is hard for you to grasp, make sure you check out this tutorial....
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Need help figuring out how to determine the length of the sides of a right triangle? Need to know how to solve a matrix-form linear equation in algebra? From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than eve...
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In this clip, you'll learn how to employ the Pythagorean theorem with PHP to make triangle calculations. Whether you're new to the PHP: Hypertext Preprocessor scripting language or are a seasoned web developer merely looking to improve your chops, you're sure to find benefit in this free video programming lesson. For more information, including ...
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From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps. With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how t...
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From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of ...
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Know the length of two sides of a triangle and want to know the third? With the Pythagorean theorem, a^2+b^2=c^2, it's easy! Learn how to use it with this free video geometry lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the ...
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Can you dissect an equilateral triangle into pieces that can be rearranged into a square? If you think you can, you may have mastered the Pythagorean theorem. Can you figure out how to draw a straight line without a reference edge? If so, you might just be the pioneer of the first straight line linkage. Is it possible to drill a square hole? Yes...
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A clinometer (also called a declinometer) is an instrument that measures vertical slope, usually the angle between the ground or the observer and a tall object, such as a tree or building (angle of elevation), but it can be used from the heights to a lower point (angle of depression or decline). Clinometers are frequently used in astronomy, surv...
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Laying a ceramic or porcelain tile floor can be considered a daunting task, but with adequate planning and preparation, this perception can be overcome. Laying one’s own tile is also much less expensive (and possibly more rewarding) than having it professionally installed. Cost can be minimized by careful planning and preparation. Planning and P...
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Math always seems hardest until someone shows you how to do the problem and then it all seems just so simple. This video will walk you through the process of finding the surface area of a cone when you also have to derive the slant height. Use this example to help with your other cone problems.
Identify the radius of the cone's base circle. I...
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Have you ever watched the sun disappear into the horizon and wondered, "How far is the horizon from where I'm standing?" If you can measure how high your eyes are from sea level, you can actually calculate the distance between you and the horizon as follows. Measure your "height of eye." Measure the length between the ground and your eyes in met...
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The video shows us how to find the area of parallelogram using geometry. Here in this video it is done by using an example where the parallelogram is given ABCD. The area of the parallelogram is base times height (bh). Here the base is given as 15 but the height is not known but it is represented by the segment BD. To find the value of h, let’s ...
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Finding the surface area of cones is not that hard. But it can require some patience and ingenuity, depending on what information is available at the beginning of the problem. Below are some suggested steps to keep track of everything. Identify the radius of the cone's base circle. If you have the diameter, cut it in half to get the radius. If y...
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The Cosine rule is a very commonly used rule in trigonometry. It can be used to investigate the properties of non-right triangles. The Pythagorean Theorem is also a "special case" of the Cosine Rule. This article details the use of the Cosine Rule. Find, using geometry or otherwise, the required variables. There are two cases in which the Cosine...
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A pyramid is a three dimensional figure with the base in the form of a triangle and three slant sides to it. To find the surface area of a pyramid you have to find the area of the different pieces that make it up. The pyramid base can be triangle or even other geometric figure like pentagon. So first draw the base of the pyramid separately and c...
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The video describes the "Calculation of the surface area of the cone without a slant". If the base circle diameter (d) and the height of the cone (h) are known, then the following procedure can be used for finding out the surface area oh the cone: Surface area of the cone is given by: S.A= Area of the base + lateral surface area. S.A= p.r.r ...
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This video shows how to compute the area of a rectangle given the length of one of its sides and its diagonal. First start by drawing the picture of the rectangle. Now draw the diagonal and label the known lengths. In the diagram, the diagonal and two sides of the rectangle form a right-angled triangle. The breadth of the rectangle can be comput...
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When beginning a construction project, it is important to take great care in properly setting up the foundation. The success of the project, whether it is a large house or small tool shed, relies heavily on the care and effort that has been put into the site preparation and layout. While the techniques described in this article can be employed t...
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This video gives instruction on how to find the distance between two points using graphing. First, plot both points. Next, find the distances between them horizontally and vertically; i.e. find the rise and the run. These distances can form the base and height of a right triangle, with the distance between the two points as the hypotenuse. You c...
