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

Question

2 years ago

8

cm

2 answers:

Deffense [45] · Answer 1 · 2022-01-02T09:57:54+03:00

7 0

The correct answer for USATesprep is

C) 3 cm, 4 cm, 5 cm

emmainna [20.7K] · Answer 2 · 2022-01-02T12:21:32+03:00

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

Step-by-step 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.