Question

*Help ASAP Please! Studying for finals and I'm stuck on this question!*

5. Find the measure, to the nearest tenth, of the diagonal of a rectangle with dimensions 14 cm by 6 cm.

A) 16.3 cm
B) 12.6 cm
C) 15.2 cm
D) 4.5 cm

Answer 1

Answer: C

Explanation:

A rectangle has 90° angles. So, the diagonal cuts the rectangle into two right triangles where the length (base) and the width (side) are the legs of the right triangle and the diagonal is the hypotenuse. Thus, the Pythagorean Theorem can be used: (leg a)² + (leg b)² = (hypotenuse)²

14² + 6² = hypotenuse²

196 + 36 = hypotenuse²

232 = hypotenuse²

√232 = √hypotenuse²

15.23 = hypotenuse