Question

In which of the following measures, the construction of triangle is possible?
12cm, 15cm, 27cm
3cm, 6cm, 7cm
2cm, 3cm, 5cm
6cm, 3cm, 2cm ​

Answer 1

Answer:

3 cm, 6 cm, 7cm measures is possible to construct a triangle.

Step-by-step explanation:

the measures to the construct a triangle is possible if the sum of any two of the triangle should be greater than the other side.

3 cm , 6 cm , 7 cm:

3 + 6 > 7 = 9 > 7

6 + 7 > 3 = 13 > 3

3 + 7 > 6 = 10> 6

So, 3 cm , 6 cm , 7 cm are the measures to construct the triangle is possible.

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Answer 2

Given : Three sides measurement

To Find : In which of the following measures, the construction of triangle is possible?

12cm, 15cm, 27cm

3cm, 6cm, 7cm

2cm, 3cm, 5cm

6cm, 3cm, 2cm ​

Solution:

in a triangle sum of any two sides is grater than third side

12cm, 15cm, 27cm

12 + 15 = 27

Not possible

3cm, 6cm, 7cm

3 + 6 > 7

3 + 7 > 6

6 + 7 > 3

Possible

2 + 3 = 5

not possible

2 + 3 < 6

not possible

3cm, 6cm, 7cm  is only possible for  construction of triangle

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