Question

Area of triangle whose sides are 50,45,35 using heron's formula​

Answer 1

Answer:

S = 65.

Area = √[ 243750] = 493.71 unit sq.

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Answer 2

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

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

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

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

• According to given question :

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