Question

A rectangular picture has a length of 40 inches and a width of 9 inches.
What is the length of the diagonal of the picture in inches?
Enter your answer in the box.
inches

Answer 1

Step-by-step explanation:

the length and the width of a rectangle create a right-angled triangle, with the diagonal being the Hypotenuse of that triangle (the baseline, opposite of the 90° angle).

so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse.

so, we have here

diagonal² = 40² + 9² = 1600 + 81 = 1681

diagonal = sqrt(1681) = 41 in