alleryIn triangle ABC, AD bisects angle A and meets BC at D. If AB = 6 cm, AC = 9 cm and BC = 10 cm, then BD equals
A3 cm
B6 cm
C5 cm
D4 cm
Answer & Solution
Correct answer: D. 4 cm
1. By the angle bisector theorem, BD/DC = AB/AC = 6/9 = 2/3.
2. Let BD = 2k, DC = 3k. Then 2k + 3k = 10, so k = 2.
3. Hence BD = 2k = 4 cm.
_Source: syllabus Mathematics, Ch 6 "Triangles", §6.3_
Keep practising Triangles, Circles and Geometry
Browse all Triangles, Circles and Geometry questions for Andhra Pradesh SSC (Class 10), or explore more Mathematics topics.
Related questions
The hypotenuse of a right triangle is 26 cm and one leg is 24 cm. The other leg isIf two triangles are similar and the ratio of their perimeters is 3 : 5, then the ratio ofIn a right triangle the legs measure 9 cm and 12 cm. The hypotenuse isA vertical pole 6 m tall casts a shadow 4 m long at the same time a tower casts a shadow 2Two triangles have areas in the ratio 49 : 64. The ratio of their corresponding sides isIn triangle ABC, DE is parallel to BC where D lies on AB and E on AC. If AD = 2 cm, DB = 3Pythagoras theorem applies to which triangles?In two similar triangles, the ratio of corresponding sides is called