QuestionAugust 24, 2025

Find the area of the triangle. a b C 18.2 17.1 12.3 Round your answer to the nearest tenth.

Find the area of the triangle. a b C 18.2 17.1 12.3 Round your answer to the nearest tenth.
Find the area of the triangle.
a	b	C
18.2 17.1 12.3
Round your answer to the nearest tenth.

Solution
4.2(425 votes)

Answer

101.1 Explanation 1. Use Heron's Formula Calculate the semi-perimeter s = \frac{a + b + c}{2} = \frac{18.2 + 17.1 + 12.3}{2} = 23.8. 2. Calculate Area **Heron's formula**: A = \sqrt{s(s-a)(s-b)(s-c)}. Substitute values: A = \sqrt{23.8(23.8-18.2)(23.8-17.1)(23.8-12.3)}. 3. Simplify and Compute A = \sqrt{23.8 \times 5.6 \times 6.7 \times 11.5} = \sqrt{10230.064}.

Explanation

1. Use Heron's Formula<br /> Calculate the semi-perimeter $s = \frac{a + b + c}{2} = \frac{18.2 + 17.1 + 12.3}{2} = 23.8$.<br />2. Calculate Area<br /> **Heron's formula**: $A = \sqrt{s(s-a)(s-b)(s-c)}$. Substitute values: $A = \sqrt{23.8(23.8-18.2)(23.8-17.1)(23.8-12.3)}$.<br />3. Simplify and Compute<br /> $A = \sqrt{23.8 \times 5.6 \times 6.7 \times 11.5} = \sqrt{10230.064}$.
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