Question

If the area of a triangle is $150m^2$ and the ratio of the base and the height is 3 : 4, then find its height.

• A. 25 m
• B. 35 m
• C. 20 m
• D. 45 m
• E. None of these

Answer 1

The correct option is C 20 m

Let the base be $3x$.
Then, the height is $4x$ .
Given: $\frac{1}{2}\times 3x\times 4x=150\Rightarrow x=5$
$\therefore$ Base $=3\times 5=15m$ and height = $4\times 5=20m$