Question

is it passible to have a triangle with the following sides? (a) 3m, 6cm, 7cm, (b) 6cm, 3cm,2cm.
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Answer 1

No. Even if the 2cm and 3cm were actually lying on top of the 6cm side, they still wouldn't reach each other. The rule is that the sum of any two sides has to be greater than the length of the third. so the lengths don't make a triangle.

Answer 2

Answer:

(a) Yes

(b) No

Step-by-step explanation:

The possibility of a triangle to be formed depends on the the length of sides.

To form a triangle, the sum of the length of two sides must be greater than the length of third side.

Now, moving to the question.

(a)3cm, 6cm, 7cm

• 3+6 > 7
• 3+7 > 6
• 6+7 > 3

Clealry, in allt the three cases, it satisfies the required condition.

Therefore, triangle will be formed.

(b) 6cm, 3cm, 2cm

• 6+3 > 2
• 6+2 > 3
• 2+3 < 6

In this , two cases are satisfying the required conditon but the third case is not.

Therefore, triangle will not be formed.

Hence, triangle will be formed only in (a).