For example, in a right triangle, if the length of the base is 3 units, and the length of the perpendicular side is 4 units, then the length of the hypotenuse can be found by using the formula Hypotenuse 2 = Base 2 + Perpendicular 2. For that, we should know the values of the base and perpendicular of the triangle. To find the length of the hypotenuse of a triangle, we will be using the above equation. The hypotenuse leg theorem states that two triangles are congruent if the hypotenuse and one leg of one right triangle are congruent/equal to the other right triangle's hypotenuse and leg side.Here, a and b are the legs of the right triangle and c is the hypotenuse. Hypotenuse equation is a 2 + b 2 = c 2.This is represented as: Hypotenuse 2 = Base 2 + Perpendicular 2. The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides (base and perpendicular).The following points will help you to get a better understanding of the hypotenuse and its relation to the other two sides of the right triangle. Here we have a = Perpendicular, b = Base, c = Hypotenuse. Now, look at the image given below to understand the derivation of the above formula. So, the hypotenuse equation = a 2 + b 2 = c 2, where c is the length of the hypotenuse and a and b are the other two sides of the right-angled triangle. To simplify the whole observation, it was later put in a short equation that can also be called a hypotenuse equation. After putting squares against each side, it was observed that the biggest square has the exact same area as the other two squares. Hypotenuse equation: The fact states that with a right-angled triangle or a triangle with a 90ยบ angle, squares can be framed using each of the three sides of the triangle. To derive an equation or a formula of the hypotenuse, years ago there was an interesting fact revealed about triangles.
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