Question

You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side to construct a valid triangle?

Answer 1

Answer with explanation:

A triangle is valid triangle if sum of length of two sides is greater than the third  side.

Let one side =a = 3 cm

Second side =b = 5 cm

Third Side = c Cm

So, for a valid triangle

1.

a+b > c

3 +5 > c

c < 8 Cm

2.

c+3 > 5

c> 5-3

c>2 Cm

3.

As, 5+c will always be greater than 3.

→→→So, combining 1 and 2 , we get

2 Cm< Third side < 8 Cm, for a valid triangle.

Answer 2

Can it be any length? If so, 4 centimeters would work, since it could make a 3-4-5 right triangle.