## Which one of the following number triplet cannot represent the length units of the sides of a triangle? A ). (5,2,2

Question

Which one of the following number triplet cannot represent the length units of the sides of a triangle?

A ). (5,2,2)

B ) . (3,4,5)

C ) . (5,12,13)

D ) .(4,7,8)​

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10 months 2021-08-20T17:12:19+00:00 2 Answers 0 views 0

## Answers ( )

a) (5, 2, 2)

Step-by-step explanation:

According to length property of a triangle, sum of two sides of a triangle is greater than the third side.

a) 2 + 2 = 4

4 < 5 (not a triangle)

b) 3 + 4 = 7

7 > 5 (it is a triangle)

c) 5 + 12 = 17

17 > 13(it is  a triangle)

d) 4 + 7 = 11

11 > 8 (it is a triangle)

(pls mark me as brainliest)

(a) (5,2,2)

Sol: We know that ,

The sum of the lengths of any two sides of a triangle is

greater than third side.Here, 5cm+2cm =7 cm > 2cm

2cm + 2cm = 4cm < 5cm

So ,

The triangle with sides 5cm ,2cm and 2cm is not

possible.

(b) (3,4,5)

Sol: We know that ,

The sum of the lengths of any two sides of a triangle is

greater than third side.

Here, 3cm+4cm =7 cm > 5cm

4cm + 5cm = 9cm > 3cm

5cm + 3cm = 8cm >4cm

So ,

The triangle with sides 3cm ,4cm and 5cm is possible.