## ZhangYan 3 years ago Ingrid is making a quilt using squares that measure 5 in. on a side. What is the length of a diagonal of one of the quilt squares? Round to the nearest tenth. 8.7 in. 7.1 in. 3.5 in. 14.2 in.

1. sasogeek

have you done Pythagoras' theorem?

2. ZhangYan

no

3. sasogeek

ok so we know that the quilt is being made using squares... which measure 5in on each side... basically one square will look like this |dw:1336502631039:dw| do you agree?

4. ZhangYan

yes

5. sasogeek

ok good, after drawing a diagonal, we'll have this |dw:1336502741454:dw| we'll have two right angled triangles... right?

6. ZhangYan

yes

7. sasogeek

ok good, according to pythagoras, if we have a right angled triangle, this formula holds \(\huge a^2=b^2+c^2 \) |dw:1336503014472:dw| my "C" is little but u can see it :) are we okay so far?

8. ZhangYan

yeah

9. sasogeek

ok good, we are going to apply this to the question. we know that each side of the square is 5in, hence, |dw:1336503197307:dw| now looking at this, we know what "b" and "c" are, they're both 5, so we have to solve for "a" ....

10. sasogeek

what is a? |dw:1336503379725:dw|

11. ZhangYan

7.1

12. sasogeek

good job :)

13. ZhangYan

thanks for your help this informations is really helps to me :)

14. sasogeek

anytime Zoe :D