Question

Which of these angle measure sets would fit a right triangle? A. 40, 40, 100 B. 60, 60, 60 C. 40, 50, 90 D. 40, 40, 90 E. 30, 45, 90

Answer 1

We must have two requirements:

1. The angles add to 180 degrees (this is true for any triangle).
2. One of the angles is 90 degrees.

Based on condition 2, we can rule out choice A and choice B.

Choice E would not work because 30+45+90 = 165, which doesn't satisfy condition 1 above.

Choice D doesn't work either because 40+40+90 = 170.

Choice C does work since 40+50+90 = 180, and one of the angles is 90 degrees.

Final Answer: Choice C. 40, 50, 90