Question

13. Each side of a rhombus is 14 in. long. Two of the sides form a 60 angle. Find the area of ​​the rhombus. Round your answer to the nearest square inch.

Answer 1

170 in²

Explanation:

Given that :

Side, a = 14 in

Angle formed =? 60°

Take height, = l

The ratio of height to side = Sine of the angle formed

l /s = Sine 60°

Sin 60 = sqrt(3)/2

l/s = sqrt(3)/2

l = sqrt(3)/2 * s

s = 14

l = 14 * sqrt(3)/2

l = 7sqrt(3)

Area of rhombus :

l * s

7sqrt(3) * 14

= 169.74097

= 169.74 in²

= 170 (nearest square inch)