Question

Let ABC be an isosceles triangle. Suppose that the sides AB and AC are equal and let the length of AB be x cm. Let b denote the angle ∠ABC and $sin\ b = \frac 35$. If the area of the triangle ABC is M square cm, then which of the following is true about M?

• A. $M<\frac {x^2}{4}$
• B. $\frac {3x^2}{4}\leq M<x^2$
• C. $M\geq x^2$
• D. $\frac {x^2}{2}\leq M<\frac {3x^2}{4}$
• E. $\frac {x^2}{4}\leq M<\frac {x^2}{2}$

Answer 1

Answer: (E)

$\frac {x^2}{4}\leq M<\frac {x^2}{2}$

Answer 2

The correct option is (E): $\frac {x^2}{4}\leq M<\frac {x^2}{2}$.