Question

The unequal side of an isosceles triangle is 6cm and perimeter is 24cm. Find its area.​

Answer 1

Answer:

Isosceles having two side equal in length

Step-by-step explanation:

6cm 6cm 12cm

Area = 6 X 6 X 12

= 36 X 12 = 432 CM^2

Answer 2

Answer:

Use Heron's Formula for this.

Step-by-step explanation:

a = 6cm

b =?

Perimeter=24cm

Thus b= $\frac{24-6}{2}$ = 9cm

b = c = 9cm [Equal sides of Isosceles Triangle]

s or Semiperimeter = $\frac{P}{2}$ = 12cm

Herons Formula is:      $\sqrt{s(s-a)(s-b)(s-c)}$ :-

$\sqrt{12(12-6)(12-9)(12-9)}$ = $\sqrt{12*6*3*3}$ =$\sqrt{2*6*6*3*3}$ =

$6*3\sqrt{2}$ = $18\sqrt{2}$$cm^{2}$

∴ The Answer is $18\sqrt{2} cm^{2}$

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