Question

Find the value of each variable. If an answer isn't a whole number, then leave it in simplest radical form. Picture will be drawn and medal will be rewarded. Please explain & show work to get the medal, so I understand how you got the answer you got.

Answer 1

@surjithayer @jim_thompson5910

Answer 2

hint:

http://www.mathwarehouse.com/geometry/similar/triangles/angle-bisector-theorem.php

Answer 3

@surjithayer yes

Answer 4

did you look at the link I posted?

Answer 5

yes

Answer 6

jim_thomson gave a good hint.

Answer 7

sides are proportional to the portions of third line of the triangle.
Here AB/BC=BD/DC

Answer 8

@surjithayer what's BD

Answer 9

sorry typing error
It is AD/DC not BD

Answer 10

@surjithayer so this is the proportion:\[\frac{ x }{ 16 } = \frac{ 7 }{ 6 }\]

Answer 11

that is correct, now solve for x