Geometry and TrigonometryHardTriangle angles in a ratio
Geometry and Trigonometry practice question
The measures of the three angles of a triangle are x°, 2x° and 3x°. What is the measure, in degrees, of the largest angle?
Answer: 90
The angles add to 180°: x + 2x + 3x = 6x = 180, so x = 30. The largest angle is 3x = 90°.
Common wrong answers
- If you answered 30
- 30 is x, the SMALLEST angle. The largest is 3x.
- If you answered 60
- 60 is 2x, the middle angle.
- If you answered 180
- 180 is the sum of all three angles, not any one of them.
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