Question

Find the area of triangle whose sides are 6cm 6cm and 1cm by herons formula


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Step by step

Answer 1

may it help you.................,.............

Answer 2

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

$\green{\therefore{\text{Area\:of\:triangle=2.98\:cm}^{2}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Sides \: of \: triangle =6 cm,6 cm,1 cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Area \: of \: triangle = ?}$

• According to given question :

$\bold{As \: we \: know \: that \: herons \: formula} \\ : \implies s = \frac{a + b + c}{2} \\ \\ : \implies s = \frac{6+ 6+ 1}{2} \\ \\ : \implies s = \frac{13}{2} \\ \\ \green{ : \implies s = 6.5} \\ \\ \circ\: \bold{Area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} } \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{6.5(6.5- 6)(6.5-6)(6.5- 1)} \\ \\ : \implies \text{Area \: of \: triangle =}\sqrt{6.5\times 0.5\times 0.5\times 5.5} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{8.9375} \\ \\ : \implies \text{Area \: of \: triangle =}2.98\: cm^{2} \\ \\ \ \green{\therefore \text{Area \: of \: triangle = 2.98\: {cm}}^{2} }$