Trigonometric Equations Question 305

Question: The area of an isosceles triangle is $ 9cm^{2} $ . If the equal sides are $ 6cm $ in length, the angle between them is

[MP PET 1986]

Options:

A) $ 60^{o} $

B) $ 30^{o} $

C) $ 90^{o} $

D) $ 45^{o} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ \Delta =\frac{1}{2}bc\sin A\Rightarrow 9=\frac{1}{2}.36\sin A $
    Þ $ \sin A=\frac{1}{2}\Rightarrow A=\frac{\pi }{6}=30{}^\circ $ .