Which set of angles can form a triangle?

A. 2 acute and 1 right

B. 1 acute and 2 obtuse

C. 1 acute and 2 right

D. 1 acute, 1 right and 1 obtuse

Answer: A. 2 acute and 1 right

The total angle in a triangle must equal 180. Two acute and one right angle is very capable of forming a triangle as the sum of the three angles can be assumed to sum up to 180. An acute angle is an angle less than 90 and a right angle is an angle that sums up to exactly 90. With that in mind, two 45 acute angles and a right angle will definitely sum up to 180 and have therefore formed a triangle. No triangle can have more than one obtuse angle so option B is ruled out. One acute and two right angles are in no way realistic as two right angles already sum up to 180 and a triangle must possess three angles. One acute, one right, and one obtuse angle won’t be possible either.

Math

3 years ago

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