Question

The perimeter of an isoscles triangle is 32 CM the ratio of the equal side to its base is 3 :2 find the area of The triangle​

Answer 1

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Answer 2

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The ratio of the equal side to the base is 3:2.

Let the sides be 3x, 2x. Let the third =3x

Given, perimeter =32

We know that the perimeter is equal to the sum of the sides. Thus,

⇒3x+2x+3x=32

⇒8x=32

⇒x=4

Thus, the sides are 12 cm, 8 cm, 12 cm

Thus, Area of the triangle = √(s-a)(s-b)(s- c). s=a +b +c /2

a=12, b=12 and c=8

√(16−12)(16−8)(16-12)

√16×4×8×4

=√4×4×4×4×2×4

=32√2 cm^2 ans