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Sides of a triangle are 6 cm, 6 cm and 8 cm. What is its area?
Question

Sides of a triangle are 6 cm, 6 cm and 8 cm. What is its area?

A.

4√5 cm²

B.

12√5 cm²

C.

8√5 cm²

D.

16√5 cm²

Correct option is C

Given:
Sides a, b, and c of the triangle = 6 cm, 6 cm, and 8 cm
Formula Used:
Area of triangle=s(sa)(sb)(sc)Semi-Perimeter=a+b+c2\text{Area of triangle} = \sqrt{s(s - a)(s - b)(s - c)} \\\text{Semi-Perimeter} = \frac{a + b + c}{2}​​
Solution:
s=6+6+82=10 cmArea=10×(106)×(106)×(108)=10×4×4×2=85 cm2s = \frac{6 + 6 + 8}{2} = 10\ \text{cm} \\\text{Area} = \sqrt{10 \times (10 - 6) \times (10 - 6) \times (10 - 8)} \\= \sqrt{10 \times 4 \times 4 \times 2} = 8\sqrt{5}\ \text{cm}^2​​

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