Question

Find the value of x.

Answer 1

Use cosine law

Answer 2

i havent learned the cosine law yet thats my next topic

Answer 3

AC = AD + DC
16= x+ DC
DC = 16-x
Here we can see that: BD is angle bisector of angle ABC
so by using angle bisector property we find:
\[\huge \frac{BA}{BC}=\frac{AD}{DC} \rightarrow \frac{36}{28}=\frac{x}{16-x}\]
i.e. 36(16-x) = 28x
i.e. 576 -36x= 28x
i.e. 576 = 36x+ 28x
i.e. 576= 64x
\[\huge x= \frac{576}{64}=9\]
Hence x=9 is the required answer.

@Itp1212

Answer 4

@ltp1212

Answer 5

@dpasingh thank you so much for explaining