Question

Which of the following will NOT produce a triangle?

a
angle measures of 47°, 58°, 75°

b
angle measures of 61°, 61°, 58°

c
side lengths of 5.5 ft, 11 ft, and 5.5 ft
d
side lengths of 5 in, 7 in, and 8 in

Answer 1

C) 5.5ft, 11ft, 5.5ft

Explanation:

A) 47+58+75 = 180 (Correct)

B) 61+61+58 = 180 (Correct)

C) 5.5+5.5>11 - 11>11 (Incorrect- the two smaller sides must be greater than the largest sides when added together)

D) 5+7>8(Correct)

Answer 2

c) side lengths 0f 5.5 ft, 11 ft, and 5.5 ft

Explanation:

The two shorter side lengths added together must exceed the longer side length (and equal to does not work)