2014 · Q80
In a triangle ABC, ∠B = 2∠C = 2∠A. What is the ratio of AC to AB?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A√2 : 1
- B1 : 1
- C√3 : 1
- D1 : 4
Explanation
∠B = 2∠A = 2∠C with A + B + C = 180° gives A = C = 45°, B = 90°; AC/AB = hypotenuse/leg = √2.