Question

Which of the side lengths could form a triangle? A) 2 cm, 2 cm, 4 cm B) 3 cm, 5 cm, 10 cm C) 3 cm, 4 cm, 5 cm D) 4 cm, 8 cm, 15 cm

Answer 1

The correct answer for USATesprep is


C) 3 cm, 4 cm, 5 cm

Answer 2

Answer: C) 3 cm, 4 cm, 5 cm

Explanation:

• The triangle inequality says that for any triangle, the sum of the lengths of any two sides must be greater than to the length of the remaining side.

A) 2 cm, 2 cm, 4 cm

Here
`2+2=4`

Hence it doesn't satisfies triangle inequality.

B) 3 cm, 5 cm, 10 cm

Here,
`3+5=8` But 8 is smaller than 10.

Hence it doesn't satisfies triangle inequality.

C) 3 cm, 4 cm, 5 cm

Here, 3+4>5

4+5>3

3+5>4

Hence it satisfies triangle inequality.

D) 4 cm, 8 cm, 15 cm

Here
`4+8=12` But 12 is not greater than 15.

Hence it does not satisfies triangle inequality.