Question

A rectangle has a width of nine units in the length of 40 units what is the length of a diagonal

Answer 1

41

Explanation:

Imagine a right triangle with legs length 9 and 40, and hypotenuse is the diagonal length c.

a^2+b^2=c^2

9^2+40^2=c^2

81+1600=c^2

1681=c^2

sqrt both sides

41=c

The length of the diagonal is 41 units

Answer 2

Applying the Pythagorean theorem, the diagonal is calculated by:

D = sqrt(40^2 + 9^2) = 41

Hope this helps!

:)