Question

A triangle has two sides that measure 4.56 cm and 8.65 cm. Which could be the measure of the third side?

A. 3.95 cm
B. 10.31 cm
C. 13.21 cm
D. 20.25 cm

Answer 1

to test for a triangle, the two smallest sides added together have to be greater than the third side.

3.95 + 4.56 > 8.65
8.51 > 8.65
this is false

4.56 + 8.65 > 10.31
13.21 > 10.31
could be it

4.56 + 8.65 > 13.21
13.21 > 13.21
no, this would mean they're equal

4.56 + 8.65 > 20.25
13.21 > 20.25
this is also false

B. 10.31 cm