Question

A triangle has two sides that measure 5 cm and 7 cm. Select all of the following that could be the measure of the third side.

a
1 cm
b
4 cm
c
7 cm
d
11 cm
e
13 cm
f
15 cm

Answer 1

4 cm, 7 cm, 11 cm

Explanation:

The sum of two shorter sides of a triangle is always greater than the larger side.

1 cm + 5 cm < 7 cm ( can't be the third side )

5 cm + 4 cm > 7 cm ( can be )

5 cm + 7 cm > 7 cm ( can be )

5 cm + 7 cm > 11 cm ( can be )

5 cm + 7 cm < 13 cm ( can't be )

5 cm + 7 cm < 15 cm ( can't be )