Question

If each side of triangle is doubled then how many times the area of triangle will increase? ( pl use Heron's formula)

Answer 1

if side×2
then area = 1/2 × b × h

= 1/2 × 2b × 2h
= 2bh

hope this helps you!

Answer 2

Using heron's formula,
$\: \: \: \: \: \: Area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} \\ = > Area of triangle = \sqrt{2s(2s - 2a)(2s - 2b)(2s - 2c)} \\ = > Area of triangle = \sqrt{2s \times 2(s - a)2(s - b)2(s - c)} \\ = > Area of triangle = \sqrt{16s \times (s - a)(s - b)(s - c)} \\ = > Area of triangle = 4\sqrt{s \times (s - a)(s - b)(s - c)}.$

So,
Area will become 4 times.



Hope this will help you. 

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