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Triangle Inequality

Is it possibl...

Question

Is it possible to draw a triangle with sides of length 2 cm, 3 cm and 7 cm?

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Solution

We know that in a triangle, sum of any two sides is greater than the third side and

2 cm + 3 cm = 5 cm

and 5 cm < 7 cm

$∴$ This triangle is not possible to draw

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Can we draw a triangle with the sides 4 cm,7 cm and 3 cm? Give reason.

Q. Question 5
Is it possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm? Give reason for your answer.

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