Question

Area of triangle whose side are 9cm 13cm 8cm

Answer 1

the answer is 58.2cm

Answer 2

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

$\green{\therefore{\text{Area\:of\:triangle=35.49\:cm}^{2}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Sides \: of \: triangle =9 cm,13 cm,8 cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Area \: of \: triangle = ?}$

• According to given question :

$\bold{As \: we \: know \: that \: herons \: formula} \\ : \implies s = \frac{a + b + c}{2} \\ \\ : \implies s = \frac{9+13+8}{2} \\ \\ : \implies s = \frac{30}{2} \\ \\ \green{ : \implies s =15} \\ \\ \circ\: \bold{Area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} } \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{15(15- 9)(15-13)(15- 8)} \\ \\ : \implies \text{Area \: of \: triangle =}\sqrt{15\times 6\times2\times 7} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{1260} \\ \\ : \implies \text{Area \: of \: triangle =}35.49\: cm^{2} \\ \\ \ \green{\therefore \text{Area \: of \: triangle =35.49\: {cm}}^{2} }$