The diagonal of a rectangle is 25 in. The width is 15 inches. What is the length

a = 20

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

The diagonal is the hypotenuse and the length and width are the legs

a^2 + 15^2 = 25^2

a^2 + 225 = 625

Subtract 225 from each side

a^2+225-255=625-225

a^2 = 400

Take the square root of each side

sqrt (a^2) = sqrt (400)

a = 20