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)

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