Question

If the area of a triangle is $49c{m}^2$ and its base is double the height, then find the height of the triangle.

• A. 24 cm
• B. 6 cm
• C. 7 cm
• D. 9 cm

Answer 1

The correct option is C

7 cm

Area of triangle $=\frac{1}{2}\times \text{base}\times \text{height}$

$\Rightarrow$ Let the height be $x$.

$\Rightarrow$ base $=2x$

$49=\left(\frac{1}{2}\right)\times 2x\times x$

$\Rightarrow x^2=49$

$\Rightarrow x=7$

$\therefore$ height $=7cm$