1. 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, which 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 lengths of the legs are 15 yd and 20 yd. Let's denote one leg as side A and the other leg as side B.
Using the Pythagorean theorem:
Hypotenuse^2 = A^2 + B^2
Substituting the values:
Hypotenuse^2 = 15^2 + 20^2
Hypotenuse^2 = 225 + 400
Hypotenuse^2 = 625
Taking the square root of both sides to solve for the hypotenuse:
Hypotenuse = √625
Hypotenuse = 25
Therefore, the length of the hypotenuse is 25 yards.