Question

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

Answer 1

{ 14, 30, 33 }

Explanation:

for the three sides to form a triangle.

The sum of any 2 sides > third side

{ 7, 22, 29 }

7 + 22 = 29 ← not greater than 3rd side, thus not form a triangle

{5, 7, 12 }

5 + 7 = 12 ← not greater than 3rd side, thus not a triangle

{ 8, 14, 24 }

8 + 14 = 22 < 24 ← sides do not form a triangle

{ 14, 20, 33 }

14 + 20 = 34 > 33

14 + 33 = 47 > 20

20 + 33 = 53 > 14

Thus the sides form a triangle