## anonymous 4 years ago What is the length x of a side of the small inner square? Please give me a second i have to draw it

1. anonymous

|dw:1328025944981:dw|

2. anonymous

b-a

3. anonymous

how did you figure that out

4. anonymous

|dw:1328026289871:dw|

5. anonymous

since b=a+x, x=b-a

6. anonymous

so we dont use the pyth thereom here

7. anonymous

if you were given the lengths a and b , you would

8. anonymous

nvm, you don't

9. anonymous

so the length of b is equal to x+a

10. anonymous

yeah

11. anonymous

how did you know the other side was equal to a . you drew it in

12. anonymous

|dw:1328026542862:dw|

13. anonymous

|dw:1328026577029:dw| since its a square, I assumed all the lines were proportional

14. anonymous

it was given all the angles are 90 degrees

15. anonymous

so, yeah, the lines are proportional then

16. anonymous

eventhough there are triangles inside a square we assume the lines are still proportional

17. anonymous

the triangles are congruent, so they are proportional, and thus the lines are proportional as well

18. anonymous

okay thank you