A parallelogram has adjacent sides of 18 cm and 10 cm, and the angle between them is 60°. Find the exact area of the parallelogram and the height corresponding to the longer side.
Show answer & explanation
Correct answer: C
Explanation
Given:
Sides = 18 cm and 10 cm
Angle = 60°
Formula:
Area of parallelogram = ab sin θ
Height = Area ÷ Base
Area = 18 × 10 × sin 60°
= 180 × (√3/2)
= 90√3
Longer side = 18 cm
Height = 90√3 ÷ 18 = 5√3
Area = 90√3 cm²
Height = 5√3 cm