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The area of an isosceles triangle with a base of 12cm and a perimeter of 32cm is [[1]].

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answer is 48 C M 2.

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Detailed Solution

The area of an isosceles triangle with a base of 12cm and a perimeter of 32cm is

48 c m 2

.
We know that the isosceles triangle has two equal sides, so let each side be a cm.
Also, the perimeter of the isosceles triangle is the sum of all sides.
So,

a + a + 12 = 32

a = 32 − 12 2 c m

a = 10 c m

We know that area of an isosceles triangle is equal to

= 12 × b × a 2 − b 2 4

.
So, a=10cm and b=12cm.
Area of the isosceles triangle

= 12 × b × a 2 − b 2 4

= 12 × 12 × 102 − 1224

= 6 × 100 − 36

= 6 × 64

= 6 × 8

= 6 × 8

= 48 c m 2

Hence, the correct answer is

48 c m 2

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