Question

Is it possible to have a triangle with the following sides
(i) $2cm,3cm,5cm$
(ii) $3cm,6cm,7cm$
(iii) $6cm,3cm,2cm$

Answer 1

Solve:-

We know that, the sum of any two sides of a triangle must be greater than the third side.

Part $\left(1\right).$

$2cm,3cm,5cm$

Then $2+3=5$

So, it is not possible to have a triangle. Because sum of two sides is equal to the third side.

Hence, this is the answer.

Part$\left(2\right).$

$3cm,6cm,7cm$

Then $3+6=9>7$

So, it is possible to have a triangle. Because of sum of two sides are greater than to the third side.

Hence, this is the answer.

Part$\left(3\right).$

$6cm,3cm,2cm$

Then $2+3=5<6$

So, it is not possible to have a triangle. Because of sum of two sides are less than to the third side.

Hence, this is the answer