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

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.

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adioabiola adioabiola · Answer 2 · 2022-02-22T11:27:22+01:00

adioabiola adioabiola

22-02-2022

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.

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

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Triangle triples

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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