Question

What is the area of the triangle whose sides are 20, 30,40 without using herons formula

Answer 1

Answer:

300 unit square

Step-by-step explanation:

though Herons Formula Is The Easiest Way .You Can Find The Answer By Area's Formula

1/2*30*20=300 unit square

Answer 2

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

$\green{\therefore{\text{Area\:of\:triangle=290.47\:cm}^{2}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Sides \: of \: triangle = 20 cm,30 cm,40 cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Area \: of \: triangle = ?}$

• According to given question :

$\bold{As \: we \: know \: that \: herons \: formula} \\ : \implies s = \frac{a + b + c}{2} \\ \\ : \implies s = \frac{20+ 30+ 40}{2} \\ \\ : \implies s = \frac{90}{2} \\ \\ \green{ : \implies s = 45} \\ \\ \circ\: \bold{Area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} } \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{45(45- 20)(45-30)(45- 40)} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{45 \times 25\times 15\times 5} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{84375} \\ \\ : \implies \text{Area \: of \: triangle =}290.47 \: cm^{2} \\ \\ \ \green{\therefore \text{Area \: of \: triangle = 290.47 {cm}}^{2} }$