Question

In ΔABC, side AB is 8 units long and side BC is 25 units long. What cannot be the length of the third side?
A) 18
B) 21
C) 27
D) 35

Answer 1

The answer is D.

The third side can be between the smallest side (8 units) and the two sides combined (25 + 8 = 32)

The third side can be anywhere from 8 - 32

All are from  8 - 32 except for D.

Answer 2

The option which cannot be its third side is; Choice D; 35

Triangle triples

From the concept of triangles;

The length of sides AB, BC, AC of a triangle are related as follows;

• AB + BC <= AC

Hence, since AB + BC = 8 + 25 = 33.

Hence, it follows that all other choices could possibly be the length of the third side except for 35.

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