CSAT: Triangle Area Calculation Quiz

Question

In a triangle, the sides are 13 cm, 14 cm, and 15 cm.
What is the area of the triangle?

Accepted Answer

We are given the sides of a triangle: Side a = 13 cm Side b = 14 cm Side c = 15 cm To find the area when all three sides are known, we use Heron’s Formula. Step 1: Find the semi-perimeter (s). s = (a + b + c) ÷ 2 s = (13 + 14 + 15) ÷ 2 s = 42 ÷ 2 s = 21 Step 2: Apply Heron’s Formula. Area = √[ s(s − a)(s − b)(s − c) ] Substitute the values: Area = √[ 21 × (21 − 13) × (21 − 14) × (21 − 15) ] Area = √[ 21 × 8 × 7 × 6 ] Multiply inside the square root: 21 × 8 × 7 × 6 = 7056 Now take the square root: Area = √7056 = 84 Answer: 84 cm² (Option C)

Answer

72 cm²

Answer

78 cm²

Answer

84 cm²

Answer

90 cm²

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Question

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