## anonymous 4 years ago Find the ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if LINE XY is PARALLEL TO LINE AC

1. anonymous

BY = 3, YC = 2

2. anonymous

3. anonymous

thats a ratio of 3:5?

4. anonymous

Lol, is it?

5. anonymous

|dw:1348331164200:dw|

6. anonymous

Isn't that 5:2?

7. anonymous

then the area of the top one is 9 and the bigger triangle is 25

8. anonymous

$\frac{ 3^{2} }{ 5^{2}}$

9. anonymous

9/25

10. anonymous

|dw:1348331474528:dw|

11. anonymous

I'm sorry i don't understand how you are getting this Mind running me through the first steps?

12. anonymous

|dw:1348331540707:dw|

13. anonymous

|dw:1348331623710:dw|

14. anonymous

then the pictures above show them on top of each other

15. anonymous

How did you get 10?

16. anonymous

The ratio of the sides is equal if there are parallel lines

17. anonymous

because they are similar

18. anonymous

because you are just extending the sides of the smaller one yes?

19. anonymous

Oh yes

20. anonymous

So the scale used to increase the smaller one is 3:5

21. anonymous

so i made one of the sides = 6 and that is an easy ratio to do

22. anonymous

i just multipled the ratio by 2

23. anonymous

so 6:10

24. anonymous

Ohhhh. Okay

25. anonymous

and since area is basically multiplying the ratio of the sides

26. anonymous

3/5 * 3/5

27. anonymous

$\frac{ 3^2 }{ 5^2 }$

28. anonymous

29. anonymous

9/25? not 9:25?

30. anonymous

same thing

31. anonymous

Ok cool

32. anonymous

What if BY = 2, BC = 4?

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