Pythagorean theorem what is a leg

Units m cm mm yd ft in. Significant Figures auto 3 4 5 6 7 8 9. Answer: hypotenuse. Get a Widget for this Calculator. Follow CalculatorSoup:. This diagonal is the hypotenuse of a right triangle having one side on the edge of the prism and the other along a diagonal of a rectangular face of the prism. In this case the sum of the squares of the two legs equals the square of the hypotenuse.

In the picture bellow it is observed graphically how the sum of the area of the squares built on the legs is equal to the area of the square built on its hypotenuse. The Geometric mean theorem or Altitude-on-Hypotenuse Theorem relates the height h of the triangle and the legs of two triangles similar to the main ABC , by plotting the height h over the hypotenuse , stating that in every right triangle , the height h relative to the hypotenuse is the geometric mean of the two projections of the legs on the hypotenuse n and m.

The leg rule is a theorem that relates the segments projected by the legs on the hypotenuse with the legs they touch. In every right triangle , a leg a or b is the geometric mean between the hypotenuse c and the projection of that leg on it n or m. Tags: triangle. Your email address will not be published.

In the following image you can see a visual representation of the formulas that you have to use to solve these Pythagorean Theorem exercises where you are asked to calculate the hypotenuse knowing the two legs or one of the legs knowing the hypotenuse and the other leg. Save my name, email, and website in this browser for the next time I comment. Posted By: max 21 May, TOPICS: Calculate Leg Calculate Hypotenuse Calculate One Side Sample Exercises Worked Examples Solutions Of all the Pythagorean Theorem problems we might be given, one of the most common is where we are asked to calculate the hypotenuse of a right triangle knowing the measurements of both legs , or where we must calculate the length of one of the legs knowing the hypotenuse and the other leg.

The diagram consists of many simple figures. There is a white rotated square at the center. There are four blue right triangles. The entire figure, the rotated square and the four right triangles, is a large square, too. This section will explain how to use The Pythagorean Theorem to find a missing hypotenuse. If we are given a triangle's legs, then we would use the equation to calculate the length of the hypotenuse.