Question

Find area of triangle sides are 60 cm 61cm 11cm

Answer 1

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》To find -

Area of triangle.

》Given -

$a$ = $60\:cm$

$b$ = $61\:cm$

$c$ = $11\:cm$

$s$ = $\frac{a+b+c}{2}$ = $\frac{60+61+11}{2}$ = $66\:cm$

》Solution -

To find the area of a triangle, when all the sides are given, we use Herons Formula.

i.e.,

$A$ = $\sqrt{s(s-a)(s-b)(s-c)}$

where a, b and c are the sides of the triangle and s is the sum of all the sides divided by 2.

⇒ $A$ = $\sqrt{s(s-a)(s-b)(s-c)}$

⇒ $A$ = $\sqrt{66(66-60)(66-61)(66-11)}$

⇒ $A$ = $\sqrt{66(6)(5)(55)}$

⇒ $A$ = $\sqrt{108900}$

⇒ $A$ = $330\:{cm}^{2}$

So, the area of the triangle is $330\:{cm}^{2}$.

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