The area of a triangle is equal to the area of a square whose each side is 60 metres. The height of the triangle is 90 metres. The base of the triangle will be :

A. 65 m

B. 75 m

C. 80 m

D. 85 m

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & \frac{1}{2} \times {\text{Base}} \times {\text{Height}} = 60 \times 60 \cr & \Rightarrow \frac{1}{2} \times {\text{Base}} \times 90 = 3600 \cr & \Rightarrow {\text{Base}} = \left( {\frac{{3600 \times 2}}{{90}}} \right) \cr & \Rightarrow {\text{Base}} = 80\,m \cr} $$