2022 · Q87
In a triangle ABC, AD is the bisector of ∠BAC. If AB = 12 cm, BD = 10 cm and DC = 5 cm, then what is the perimeter of the triangle?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A30 cm
- B31 cm
- C33 cm
- D35 cm
Explanation
AB/AC = BD/DC gives 12/AC = 10/5, so AC = 6 cm; perimeter = 12+15+6 = 33 cm. Hence the keyed option is C.