Question

Two sides of a triangle are 8cm and 12cm. Which of the following CANNOT be the measure of the third side,

A.4
B.12
C.8
D.16

Answer 1

the answer should be 8

Answer 2

4 cannot be the measure of the third side. This is because of the Triangle Inequality Theorem, which states that the sum of two sides of a triangle must be greater than the third side (A+B>C, A+C>B, B+C>A) In this example, if side C were 4, side C (4) plus side A (8) would be 12. Since side B is 12, and 12 cannot be greater than 12, 4 would not work.

Answer=8

Explanation: