Question

area if triangle whose sides are 20,50,50
BY HERON'S FORMULA




"NO SPAM"​

Answer 1

400 root 15 is answer...

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Area\:of\:triangle=489.89\:cm}^{2}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given : }} \\ : \implies \text{Sides \: of \: triangle = 20 cm,50 cm,50 cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Area \: of \: triangle = ?}$

• According to given question :

$\bold{As \: we \: know \: that \: herons \: formula} \\ : \implies s = \frac{a + b + c}{2} \\ \\ : \implies s = \frac{20+ 50+50}{2} \\ \\ : \implies s = \frac{120}{2} \\ \\ \green{ : \implies s = 60} \\ \\ \circ\: \bold{Area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} } \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{60(60- 20)(60-50)(60- 50)} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{60 \times 40\times 10\times 10} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{240000} \\ \\ : \implies \text{Area \: of \: triangle =}489.89 \: cm^{2} \\ \\ \ \green{\therefore \text{Area \: of \: triangle =489.89 {cm}}^{2} }$