Question

find the are of the isosceles triangle has perimeter 30 cm and each equal side is 8 cm find area of the triangle​

Answer 1

$\LARGE{ \underline{\underline{ \sf{Required \: answer:}}}}$

Requiredanswer:

GiveN:

Perimeter of the triangle = 30 cm

Each equal side = 8 cm

To FinD:

Area of the isoceles triangle?

Step-wise-Step Explanation:

Two sides are equal in an isoceles triangle. Hence, teh Perimeter will be:

➛ 2(Equal side) + Unequal side = 30 cm

➛ 2(8 cm) + Unequal side = 30 cm

➛ 16 cm + Unequal side = 30 cm

➛ Unequal side = 14 cm

Hence the sides of the triangle are 8 cm, 8 cm and 14 cm. We can use Heron's formula for finding the area of ∆.

$\boxed{\rm{Ar. \: of \: \triangle = \sqrt{s(s - a)(s - b)(s - c)} }}$

Semiperimeter = 30 cm / 2 = 15 cm

Putting the given values:

➛ $\sf{Ar. \: of \: \triangle = \sqrt{15(15 - 8)(15 - 8)(15 - 14)} }$

➛ $\sf{Ar. \: of \: \triangle = \sqrt{15 \times 7 \times 7 \times 1 \: }{cm}^{2} }$

➛ $\sf{Ar. \: of \: \triangle = 7 \sqrt{15} \: {cm}^{2}$

➛ $\sf{Ar. \: of \: \triangle \approx \: 27.11 \: {cm}^{2} }$

Hence,

The required area of the isoceles triangle is approximately 27. 11 cm²

Answer 2

The area is 120.

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