Question

Two sides of a triangle measure 25 cm and 35 cm. Which of the following could be the measure of the third side?

A 3 cm

C 8 cm

B 6 cm

D 11 cm

Answer 1

D. 11 cm

The two shorter sides of a triangle must add to be more than the longest side:

a + b > c

If b = 25 and c = 35, then we have:

a + 25 > 35

a > 10

So the shortest side has to be longer than 10 cm.