## anonymous one year ago how do I find the missing lengths to a trapezoid?

1. anonymous

will award medal

2. UnkleRhaukus

do you have the other sides and the area or perimeter?

3. anonymous

i have the two bases

4. anonymous

i am trying to figure out how to find the height specifically

5. UnkleRhaukus

can you sketch it? |dw:1438139990906:dw|

6. anonymous

|dw:1438140016611:dw|

7. anonymous

|dw:1438140115245:dw|

8. UnkleRhaukus

The formula for the area of a trapezium is: $A = \left(\frac{a+b}2\right)\times h$

9. anonymous

but how do i find the height?

10. UnkleRhaukus

you have a value for the area $$A$$, and you have the lengths of the bases $$a$$, $$b$$ solve for the height $$h$$

11. anonymous

|dw:1438140350883:dw|

12. UnkleRhaukus

rearranging $A = \left(\frac{a+b}2\right)\times h\\\qquad\Downarrow\\A\times\left(\frac{2}{a+b}\right)=h$

13. UnkleRhaukus

yeah, you can substitute the values in before rearranging, if you want to

14. anonymous

the height is 96??

15. anonymous

no wait

16. anonymous

height is 6?

17. triciaal

yes

18. UnkleRhaukus

6, yes!

19. anonymous

thanks

20. triciaal

|dw:1438140646616:dw|

21. triciaal

welcome

22. UnkleRhaukus

|dw:1438140814219:dw|