Question

Find the area of triangle whose sides are 35,45 and50

Answer 1

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

$\green{\therefore{\text{Area\:of\:triangle=764.85\:cm}^{2}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Sides \: of \: triangle =35 cm,45 cm,50 cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Area \: of \: triangle = ?}$

• According to given question :

$\bold{As \: we \: know \: that \: herons \: formula} \\ : \implies s = \frac{a + b + c}{2} \\ \\ : \implies s = \frac{35+45+ 50}{2} \\ \\ : \implies s = \frac{130}{2} \\ \\ \green{ : \implies s =65 } \\ \\ \circ\: \bold{Area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} } \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{65(65- 35)(65-45)(65- 50)} \\ \\ : \implies \text{Area \: of \: triangle =}\sqrt{65\times 30\times 20\times 15} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{585000} \\ \\ : \implies \text{Area \: of \: triangle =}764.85\: cm^{2} \\ \\ \ \green{\therefore \text{Area \: of \: triangle = 764.85\: {cm}}^{2} }$