Question

Which of the following sets of numbers could repersent the three sides of a triangle?

a: 15,27,42
b:15,18,33
c:8,20,25
d:12,23,35

Answer 1

c: 8,20,25

Explanation:

You want to know which set of side lengths can form a triangle from the sets ...

• a: 15,27,42
• b: 15,18,33
• c: 8,20,25
• d: 12,23,35

Triangle inequality

A set of lengths can form a triangle if and only if the sum of the shorter two exceeds the longest.

In sets a, b, d, the sum of the shorter two is equal to the longest. These lengths will form a line segment, not a triangle.

A triangle can be formed by ...

c: 8,20,25 . . . . . . 8+20=28 > 25

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