Question

Find the area of a triangle with sizes a=7cm,b=5cm,c=6cm. With us of Heron’s formula

Answer 1

Step-by-step explanation:

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Answer 2

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

$\green{\therefore{\text{Area\:of\:triangle=14.7\:cm}^{2}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Sides \: of \: triangle =7 cm,5 cm,6 cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Area \: of \: triangle = ?}$

• According to given question :

$\bold{As \: we \: know \: that \: herons \: formula} \\ : \implies s = \frac{a + b + c}{2} \\ \\ : \implies s = \frac{7+5+ 6}{2} \\ \\ : \implies s = \frac{18}{2} \\ \\ \green{ : \implies s = 9} \\ \\ \circ\: \bold{Area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} } \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{9(9- 7)(9-5)(9- 6)} \\ \\ : \implies \text{Area \: of \: triangle =}\sqrt{9\times 2\times 4\times 3} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{216} \\ \\ : \implies \text{Area \: of \: triangle =}14.7\: cm^{2} \\ \\ \ \green{\therefore \text{Area \: of \: triangle = 14.7\: {cm}}^{2} }$