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Construction of Triangles

Is a possible...

Question

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

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Solution

As we know that a triangle can only be formed if

The sum of two sides is greater than the third side.

Here we have 2 cm, 3 cm and 7 cm as sides.

If we add

(Since 5 is less than 7)

Hence the sum of two sides is less than the third sides

So, the triangle will not exist.

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(iv) 3.4 cm, 2.1 cm, 5.3 cm
(v) 6 cm, 7 cm, 14 cm

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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.

A triangle with sides 2 cm, 3 cm and 5 cm is possible. (True/False)

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