Geometry and TrigonometryMediumLongest side opposite the largest angle
Geometry and Trigonometry practice question
In triangle ABC, angles A and B each measure 50°. Which side of the triangle is the longest?
- A. ABCorrect
- B. BC
- C. AC
- D. All three sides are equal in length.
Answer: A. AB
Angle C = 180 − 50 − 50 = 80°, the largest angle. The longest side is opposite the largest angle, and the side opposite C is AB.
Why the other answers are wrong
- B. BC
- BC is opposite angle A (50°), one of the two smaller angles.
- C. AC
- AC is opposite angle B (50°). Since A = B, BC = AC; both are shorter than AB.
- D. All three sides are equal in length.
- Equal sides would need equal angles, but C is 80°, not 50°.
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