Draw a triangle $P Q R$ in which $P Q = 7 c m, Q R = 3 c m, R P = 4 c m$ . Is the construction of triangle possible?

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Solution

In a triangle sum of two sides must be greater than other side
Given sides are $7$ cm, $3$ cm, $4$ cm
Here sum of sides $3$ and $4$ is not greater than other side of length $7$ cm.
So the triangle is not possible with given sides

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