if a triangle has legs of 9in. and 12in. What is the length of the hypotenuse
Is this a right triangle?
See the Related Questions below.
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. This theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the two legs of the triangle are 9 inches and 12 inches. Let's call the length of the hypotenuse "h".
According to the Pythagorean theorem, we have:
h^2 = 9^2 + 12^2
Simplifying this equation, we get:
h^2 = 81 + 144
h^2 = 225
To find the length of the hypotenuse, we need to take the square root of both sides of the equation:
h = √225
h = 15
Therefore, the length of the hypotenuse is 15 inches.