Question

Find the area of triangle whose sides are 20cm,25cm,15cm using herons formula​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

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

$\green{\therefore{\text{Area\:of\:triangle=150\:cm}^{2}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Sides \: of \: triangle = 20 cm,25 cm,15 cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Area \: of \: triangle = ?}$

• According to given question :

$\bold{As \: we \: know \: that \: herons \: formula} \\ : \implies s = \frac{a + b + c}{2} \\ \\ : \implies s = \frac{20+ 25+ 15}{2} \\ \\ : \implies s = \frac{60}{2} \\ \\ \green{ : \implies s = 30} \\ \\ \circ\: \bold{Area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} } \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{30(30- 20)(30-25)(30- 15)} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{30\times 10\times 5\times 15} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{22500} \\ \\ : \implies \text{Area \: of \: triangle =}150\: cm^{2} \\ \\ \ \green{\therefore \text{Area \: of \: triangle = 150 {cm}}^{2} }$