Question

Find the area of triangle whose sides are 7.5m 31.5m 31

Answer 1

Step-by-step explanation:

you have to write its base and height

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Answer 2

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

$\green{\therefore{\text{Area\:of\:triangle=116.08\:m}^{2}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Sides \: of \: triangle =7.5 m,31.5 m,31 m} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Area \: of \: triangle = ?}$

• According to given question :

$\bold{As \: we \: know \: that \: herons \: formula} \\ : \implies s = \frac{a + b + c}{2} \\ \\ : \implies s = \frac{7.5+31.5+31}{2} \\ \\ : \implies s = \frac{70}{2} \\ \\ \green{ : \implies s =35 } \\ \\ \circ\: \bold{Area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} } \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{35(35- 7.5)(35-31.5)(35- 31)} \\ \\ : \implies \text{Area \: of \: triangle =}\sqrt{35\times 27.5\times3.5\times 4} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{13475} \\ \\ : \implies \text{Area \: of \: triangle =}116.08\: m^{2} \\ \\ \ \green{\therefore \text{Area \: of \: triangle =116.08\: {m}}^{2} }$