Can we draw a triangle ABC with AB = 3 cm, BC = 3.5 cm and CA = 6.5 cm? Why?

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Solution

No.

A triangle can be drawn when the sum of any two sides is greater than the third side.
Here, $A B + B C = A C$
i.e., 3+3.5 = 6.5
So, we cannot draw the triangle ABC.

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Similar questions

Construct a triangle ABC in which BC is 3.5 cm, Angle B is $75^{\circ}$ and AB+AC=6.5cm

△ A B C

A B = 3 c m

B C = 4 c m, C A = 3.5 c m

∠ B

75^{\circ}