Question

The sides of triangle are 12m 10m 6m using herons find area of triangle

Answer 1

$\sqrt{s (s-a) (s-b) (s-c)}$

s = $\frac{a+b+c}{2}$

s = $\frac{(12+10+6)m}{2}$

s = $\frac{28m}{2}$

s = $14m$

By using Heron's formula : -

$\sqrt{s (s-a) (s-b) (s-c)}$

$\sqrt{14 (14-12) (14-10) (14-6)}$

$\sqrt{14 (2) (4) (8)}$

$\sqrt{7×2×2×2×2×2×2×2}$

$2×2×2 \sqrt{7×2}$

$8 \sqrt{14}$