Question

Two sides of a triangle are given. If the area of the triangle is maximum then the angle between the given sides is

• A. ${45}^o$
• B. ${30}^o$
• C. ${60}^o$
• D. ${90}^o$

Answer 1

Answer: (D)

${90}^o$

Let 2 sides are a and b,
Area of $\Delta =\frac{1}{2}absin\theta$ (where $\theta$ is angle between a & b)
So max area means $sin\theta =1$
$\theta ={90}^0$