## Dallasb22 3 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. Dallasb22

BY = 3, YC = 2

2. Dallasb22

3. Freyes

thats a ratio of 3:5?

4. Dallasb22

Lol, is it?

5. Freyes

|dw:1348331164200:dw|

6. Dallasb22

Isn't that 5:2?

7. Freyes

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

8. Freyes

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

9. Freyes

9/25

10. Freyes

|dw:1348331474528:dw|

11. Dallasb22

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

12. Freyes

|dw:1348331540707:dw|

13. Freyes

|dw:1348331623710:dw|

14. Freyes

then the pictures above show them on top of each other

15. Dallasb22

How did you get 10?

16. Freyes

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

17. Freyes

because they are similar

18. Freyes

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

19. Dallasb22

Oh yes

20. Freyes

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

21. Freyes

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

22. Freyes

i just multipled the ratio by 2

23. Freyes

so 6:10

24. Dallasb22

Ohhhh. Okay

25. Freyes

and since area is basically multiplying the ratio of the sides

26. Freyes

3/5 * 3/5

27. Freyes

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

28. Freyes

29. Dallasb22

9/25? not 9:25?

30. Freyes

same thing

31. Dallasb22

Ok cool

32. Dallasb22

What if BY = 2, BC = 4?