The longest side of the obtuse triangle is 7 cm and the other two sides of the triangle are 4 cm and 5 cm. Find the area of the triangle.

Question

Question

This question was previously asked in

SSC MTS (2022) Official Paper (Held On: 18 May, 2023 Shift 1)

Answer 1

Given:

First side (a) = 4 cm

Second side (b) = 5 cm

Third side (c) = 7 cm

Formula used:

Heron's formula

Area = √{S × (S - a) × (S - b) × (S - c)}

Where, S = (a + b + c)/2

Calculation:

S = (4 + 5 + 7)/2 = 16/2 = 8

Area of triangle = √{S × (S - a) × (S - b) × (S - c)}

⇒ √{8 × (8 - 4) × (8 - 5) × (8 - 7)}

⇒ √{8 × 4 × 3 × 1}

⇒ √{16 × 6}

⇒ √96 = 4√6 cm²

∴ The correct answer is 4√6 cm2 .

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