Two diagonals of a quadrilateral meet at an angle of 30°. If the area of the quadrilateral is 50 cm2 and length of one of the diagonals is 5 cm, what is the length of its other diagonal?
Explanation:
Area of a quadrilateral when two diagonals and an included angle is known
= 1/2 × d1 × d2 × Sin θ
∴ 50 = 1/2 × 5 × d2 × Sin 30°
⇒ 50 = 1/2 × 5 × d2 × 1/2
⇒ d2 = 40 cm
Hence, option (b).
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