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Can you construct a triangle using the lengths 5 cm, 4 cm, and 12 cm? why...

Can you construct a triangle using the lengths 5 cm, 4 cm, and 12 cm? why and why not?

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Answer #1

According to the TRIANGLE INEQUALITY " The sum of any 2 sides of a triangle should always be equal to or greater than the third side. "

We have given 3 sides 5 , 4 , 12 . Say a=5 , b=4 , c=12

Then by the inequality :- (a+b) > c ; (b+c) > a & (c+a) > b

Thus, (a+b) = 5+4 = 9 which is not at all greater than c = 12 .

Hence it is clear that the given sides do not follow triangle inequality

Therefore we can't construct a triangle using lengths 5 , 4 , 12

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