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 $ .