Question

Find the area of a triangle using Heron's formula: if a= 35cm. b= 25cm. c= 12cm.

Answer 1

Answer:  97.49cm²

Step-by-step explanation:

Please refer the attached jpeg for better understanding

Answer 2

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

$\green{\therefore{\text{Area\:of\:triangle=97.49\:cm}^{2}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Sides \: of \: triangle =35 cm,25 cm,12 cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Area \: of \: triangle = ?}$

• According to given question :

$\bold{As \: we \: know \: that \: herons \: formula} \\ : \implies s = \frac{a + b + c}{2} \\ \\ : \implies s = \frac{35+25+ 12}{2} \\ \\ : \implies s = \frac{72}{2} \\ \\ \green{ : \implies s =36 } \\ \\ \circ\: \bold{Area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} } \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{36(36- 35)(36-25)(36- 12)} \\ \\ : \implies \text{Area \: of \: triangle =}\sqrt{36\times 1\times 11\times 24} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{9504} \\ \\ : \implies \text{Area \: of \: triangle =}97.49\: cm^{2} \\ \\ \ \green{\therefore \text{Area \: of \: triangle = 97.49\: {cm}}^{2} }$