ohmygoooood ohmygoooood
  • 11-11-2018
  • Mathematics
contestada

Find the value of x.

A.
7
B.
9
C.
11
D.
12

Find the value of x A 7 B 9 C 11 D 12 class=

Respuesta :

AlonsoDehner AlonsoDehner
  • 12-11-2018

x=9 i.e. option B is the answer.

Explanation:

Given that in triangle ABC, sides AB and BC are 36 and 28 units.

BD is angle bisector of angle B meeting AC at point D

Also AC = 16 cm.

We know that by angle bisector theorem,

AB/AC = BD/DC

Or x/DC = 36/28

By compendo and dividendo principle, we rewrite as

Or x/x+DC = 36/(28+36)

x/16 = 36/64

x = 36(16)/64 = 9 units.

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