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NTA Abhyas JEE Main2020MathematicsProperties of TrianglesPractice

The inradius of the triangle having sides 26, 28, 30 units is

Correct answer

8

Step-by-step solution

s = 26 + 28 + 30 2 = 42 Δ = s s - a s - b s - c = 42 42 - 26 42 - 28 42 - 30 = 42 × 16 × 14 × 12 = 7 × 6 × 4 × 4 × 7 × 2 × 6 × 2 = 7 × 6 × 4 × 2 r = Δ s = 7 × 6 × 4 × 2 42 = 8

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