What does the hypotanuse of a triangle have to do with the pythagorean theorem?

Answer 1

a^2 + b^2 = c^2. . . c is the hypotenuse. Does that help you?

Answer 2

The hypotenuse is a very important part of the Pythagorean Theorem. In a right triangle, the hypotenuse is ALWAYS opposite of the right (90°) angle. The other two lines that make up the right triangle are called "legs".

The Pythagorean Theorem states that the sum of the squares of the measure of the two legs is equal to the square of measure of the hypotenuse. Therefore,
a² + b² = c² --- Where "a" = a leg, "b" = a leg, and "c" = the hypotenuse.

Answer 3

For one thing, the Pythagorean Theorem only works on right angle triangles. The hypotenuse is defined to be the side of the triangle which is opposite of the right angle.

Also, the formula

a^2 + b^2 = c^2

Works only when c is set as the hypotenuse.

Answer 4

First of all the triangle must be a right triangle otherwise the Pythagorean Theorum would be useless. Assuming it is a right triangle, Each of the legs take a or b. (in a^2 +b^2=c^2) c is the hypotenuse. So leg a^2 +legb^2= Hypotenuse^2.

Answer 5

you have to have right triangle, say with sides A, B, and C. Side C is opposite of the right angle. Side C (the longest side) is the hypotenuse. The formula for C is C = squareroot(A*A + B*B). The Pythagorean theorem says that C*C = A*A + B*B.

Answer 6

side squared + side squared = hypotanuse squared