Question

Which of the following measures would NOT produce a triangle?

43°, 62°, and 76°
26°, 48°, and 106°
62°, 34°, and 84°
34°, 67°, and 79°

Answer 1

Number 4 (43º, 62º, 75º)

Explanation:

26 + 42 + 106 ≠ 180 so number 1 is not a triangle.

34 + 63 + 79 ≠ 180 so number 2 is not a triangle.

62 + 34 +80 ≠ 180 so number 3 is not a triangle.

43 + 62 + 75 = 180 so number 4 is a triangle.

Because only the angles are given and not the sides, there is an infinite number of triangles. The answer is number 4 (43º, 62º, 75º).

Answer 2

The angles 43*, 62* and 76* do not make a triangle because they add up to 181 instead of 180