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In a ∆Abc, Ad is the Bisector of ∠Bac. If Ab = 8 Cm, Bd = 6 Cm and Dc = 3 Cm. Find Ac(A) 4 Cm (B) 6 Cm (C) 3 Cm (D) 8 Cm - Mathematics

MCQ

In a ∆ABC, AD is the bisector of ∠BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. Find AC

Options

  •  4 cm

  •  6 cm

  • 3 cm

  • 8 cm

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Solution

Given: In a ΔABC, AD is the bisector of angle BAC. AB = 8cm, and DC = 3cm and BD = 6cm.

To find: AC

We know that the internal bisector of angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle.

Hence,

`(AB)/(AC)=(BD)/(DC)`

`8/(AC)=6/3`

`8/(AC)=(8xx3)/6`

`AC= 4cm`
Hence we got the result `a`

Concept: Triangles Examples and Solutions
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 16 | Page 132
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