anonymous one year ago Challenge! Ready? What are the values of x and y? http://assets.openstudy.com/updates/attachments/55ade084e4b071e6530cdc81-lollygirl217-1437459025179-as.jpg Hint...they both end in a fraction

1. anonymous

Hint...they both end in a fraction

2. anonymous

So do you need help or what?

3. anonymous

We know that: $$\angle BAD \cong \angle CBD$$

4. anonymous

no.....it is a challenge

5. anonymous

Suppose the angle is $$\theta$$. Then: $\sin(\theta) = \frac{y}{15+x} = \frac{8}{17} = \frac{x}{y}$Also: $\cos(\theta) = \frac{17}{15+x} = \frac{15}{17} = \frac{8}{y}$

6. anonymous

x= what y=what; that is how the answer is placed

7. anonymous

I'm not going to do someone else's homework

8. anonymous

Look on my profile...this is what I do.

9. anonymous

10. anonymous

anyone??

11. welshfella

you can apply the pythagoras theorem to large and smallest triangles (15 + x)^2 = 17^2 + y^2 y^2 + x/62 + 8^2

12. welshfella

* y^2 = x^2 + 8^2

13. welshfella

substituting y*2 = x^2 + 8^2 into the first equation (15 + x)^2 = 17^2 + x^2 + 8^2

14. anonymous

They both end in a fraction

15. anonymous

This is easy

16. welshfella

yea