Geometry and TrigonometryEasy–MediumClassifying a triangle from two angles
Geometry and Trigonometry practice question
Two angles of a triangle measure 40° and 75°. Which of the following describes the triangle?
- A. Acute, because all three angles are less than 90°Correct
- B. Obtuse, because the third angle is greater than 90°
- C. Right, because the third angle is 90°
- D. Equilateral, because all angles are equal
Answer: A. Acute, because all three angles are less than 90°
The third angle is 180 − 40 − 75 = 65, so all three are acute.
Why the other answers are wrong
- B. Obtuse, because the third angle is greater than 90°
- The third angle is 65, not more than 90.
- C. Right, because the third angle is 90°
- The third angle is 65, not 90.
- D. Equilateral, because all angles are equal
- The angles differ.
More Geometry and Trigonometry questions
- Easy–Medium
A circle has a radius of 6. What is its area? (Use A = πr².) - Easy–Medium
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse? - Easy–Medium
A circle has a radius of 5. What is its circumference? (Use C = 2πr.) - Easy–Medium
What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
What is the area, in square centimeters, of the trapezoid?
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