Question

Find the area of the triangle whose sides are 5cm, 1cm and 5cm .

Answer 1

Answer:

Rhombus is your answers

Answer 2

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

$\green{\therefore{\text{Area\:of\:triangle=2.48\:cm}^{2}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Sides \: of \: triangle =5 cm,1 cm,5 cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Area \: of \: triangle = ?}$

• According to given question :

$\bold{As \: we \: know \: that \: herons \: formula} \\ : \implies s = \frac{a + b + c}{2} \\ \\ : \implies s = \frac{5+1+ 5}{2} \\ \\ : \implies s = \frac{11}{2} \\ \\ \green{ : \implies s = 5.5} \\ \\ \circ\: \bold{Area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} } \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{5.5(5.5- 5)(5.5-1)(5.5- 5)} \\ \\ : \implies \text{Area \: of \: triangle =}\sqrt{5.5\times 0.5\times 4.5\times 0.5} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{6.1875} \\ \\ : \implies \text{Area \: of \: triangle =}2.48\: cm^{2} \\ \\ \ \green{\therefore \text{Area \: of \: triangle = 2.48\: {cm}}^{2} }$