Question

Find the base of a triangle whose area is $90{\text{cm}}^2$ and height $12$ cm

• A. $10$ cm
• B. $14$ cm
• C. $15$ cm
• D. $18$ cm

Answer 1

Answer: (C)

$15$ cm

Given:-

Area of triangle $=90{cm}^2$

Height of triangle $=12cm$

Let the base of the triangle be $x$ meter.

As we know that, the area of triangle $\left(A\right)$ is given as-

$A=\frac{1}{2}\times \text{base}\times \text{height}.....\left(1\right)$

Substituting these values in ${eq}^n\left(1\right)$, we have

$90=\frac{1}{2}\times 12\times x$

$\Rightarrow 6x=90$

$\Rightarrow x=\frac{90}{6}=15cm$

Hence the base of the triangle is $15cm$.