The lengths of the legs of a right triangle are given. Find the length of the hypotenuse If the legs: 15 yd and 20 yd the hypotenuse is:
*
13mm
10yds
25 mm
25 yds
The length of the hypotenuse can be found using the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the lengths of the legs are 15 yd and 20 yd.
Using the Pythagorean theorem:
hypotenuse^2 = leg1^2 + leg2^2
hypotenuse^2 = 15^2 + 20^2
hypotenuse^2 = 225 + 400
hypotenuse^2 = 625
Taking the square root of both sides to find the length of the hypotenuse:
hypotenuse = √625
hypotenuse = 25
Therefore, the length of the hypotenuse is 25 yds.