Question

What are the values of x and y?

Answer 1

A. x=9/4,y=3/4
B. x=9/4, y=15/4
C. x= 15/4, y=5/4
D. x=3/4, y=15/4

Answer 2

@aryandecoolest

Answer 3

Do you know sine law or cosine law?

Answer 4

No i don't..

Answer 5

I assume you know Pythagoras though

Answer 6

No wait, you don't need that.

Answer 7

Triangles ABC and CBD are similar triangles. Use ratios to find out the values of x and y.

Answer 8

Do you know how to do that?

Answer 9

No.. im trying to understand it.

Answer 10

ABC and CBD are similar because we can see that they share two of the same angles, which means that their third angle must also be the same because all triangles' angles add up to 180.

Answer 11

We know that one side of CBD has a length of 3 units

Answer 12

This side, BD, corresponds to side AB on the triangle ABC.

Answer 13

Similarly, each other side on CBD corrresponds to another side on ABC. This is because CBD is just a smaller version of ABC.

Answer 14

Because it's a smaller version:
\[\frac{ BD }{ CD } = \frac{ AB }{ BC }\] \[\frac{ 3 }{ x } = \frac{ 5 }{ y }\]
and
\[\frac{ 3 }{ y } = \frac{ 5 }{ 4+x }\]

Answer 15

You should be able to manipulate the second two equations to find a value for either x or y.

Answer 16

Do you understand?

Answer 17

yes i do thank you so much

Answer 18

No problem.