Question

if the base and altitude of a triangle are doubled what will happen to its area

Answer 1

Let b and h be the base and altitude of the triangle respectively.

Area of the triangle = $\dfrac{1}{2} \times b \times h$

New base = 2b

New height = 2h

New area of the triangle =

$\dfrac{1}{2} \times 2b \times 2h \\ \\ \implies \dfrac{1} {\cancel{2}} \times {\cancel{4}}bh \\ \\ \implies 2bh = 4 \times \frac{1}{2} bh \: \\ = 4(original \: area)$

So, when the base and the height of the triangle are doubled, the area is quadrupled.

Answer 2

Answer:

I hope il is helpful for you