Answer to Question #114477 in Geometry for Judy

Question

A picture is 5 inches high and 7 inches wide. Find the length of the diagonal of the picture. Give the answer as an approximation to 3 decimal places.

Answer 1

The picture has the shape of a rectangle, so we use the Pythagorean formula to find the diagonal: we denote the diagonal by $C$ , then

$C^2 = 5^2 +7^2 \implies C=\sqrt{5^2+7^2}\implies C=8.602$Answer: $8.602$ inches.