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practice testMultiple Choice

Practice Test

Question 2 • TPS EdX Geometry

Which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle?

Answer
A
12, 15, 19
B
8, 10, 14
C
9, 12, 15
D
10, 14, 17

Explanation

For three side lengths to form a triangle, the two shorter sides must add to more than the longest side. A triangle is obtuse when the square of its longest side is greater than the sum of the squares of the other two sides. For 8, 10, and 14, the triangle inequality holds (8 + 10 > 14), and 14² = 196 > 8² + 10² = 164. So the set 8, 10, 14 can represent an obtuse triangle.

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