Why we cannot construct a ∆ABC, if ∠A = 60°, AB = 7 cm and AC + BC = 6 cm.

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Solution

We know that, by triangle inequality property, construction of triangle is possible if sum of two sides of a triangle is greater than the third side. Here, AC + BC = 6 cm which is less than AB (7 cm) Thus ∆ABC is not possible.

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