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Mathematics

Can you construct a △ABC in which AB = 5 cm, BC = 4 cm and AC = 9 cm? Give reason.

Triangles

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Answer

Let ABC be the triangle.

AB = 5 cm, BC = 4 cm, AC = 9 cm.

We know that,

In a triangle, sum of any two sides is greater than the third side.

AB + BC = 5 + 4 = 9 cm is equal to third side AC = 9 cm.

Hence, we cannot construct a triangle using given sides.

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