Arectangle has side lengths, l and w, and a diagonal, d.

complete the equations to answer the questions below.

see explanation

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

L² + W² = d²

Given L = 7 and W = 5, then

7² + 5² = d², that is

49 + 25 = d²

74 = d² ( take the square root of both sides )

= d, then

d ≈ 8.6 units ( to the nearest tenth )