In ΔABC with sides 6 cm, 7 cm and 8 cm, the angle bisector of the largest angle divides the opposite side into two segments. What is the length of the shorter segment?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 48/13 cm
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Concept |
Understanding |
Application |
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Angle bisector divides the opposite side in the ratio of other two sides. |
Suppose in triangle ABC: AB = 6, BC = 8 and AC = 7 Point D bisect ∠A.
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As we know DC/BD = 7/6 ⇒ (DC/BD) + 1 = (7/6) + 1 ⇒ (DC + BD)/BD = 13/6 ⇒ 8/BD = 13/6 ⇒ BD = 6/13 × 8 ⇒ BD = 48/13 cm |
