2017 · Q84
ABC is a triangle and D is a point on the side BC. If BC = 12 cm, BD = 9 cm and ∠ADC = ∠BAC, then the length of AC is equal to
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A5 cm
- B6 cm
- C8 cm
- D9 cm
Explanation
∠BAC = ∠ADC with ∠C common gives ΔABC ∼ ΔDAC. So AC/BC = DC/AC with DC = 12 − 9 = 3: AC² = 36, AC = 6 cm: option B.