CDS 2022 · PYQ · Geometry · medium
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?
Answer
The correct answer is A: 33 cm. By angle bisector theorem, AB/AC = BD/DC, so 12/AC = 10/5 = 2, AC = 6. BC = 15.
- A.33 cm✓ Correct
- B.30 cm
- C.35 cm
- D.31 cm
By angle bisector theorem, AB/AC = BD/DC, so 12/AC = 10/5 = 2, AC = 6. BC = 15. Perimeter = 12+6+15 = 33.
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