SOLUTION: I have a isosceles trapezoid. The bases measure 11 and 12.25. Measured at a right angle the distance between the bases is 6.5. What is the length of the legs? Thank yo

Algebra ->  Polygons -> SOLUTION: I have a isosceles trapezoid. The bases measure 11 and 12.25. Measured at a right angle the distance between the bases is 6.5. What is the length of the legs? Thank yo      Log On


   

Question 1028956: I have a isosceles trapezoid.
The bases measure 11 and 12.25.
Measured at a right angle the distance between the bases is 6.5.
What is the length of the legs?
Thank you!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Think about removing the rectangle between the two right triangles.

%2812.25-11%29%2F2=1.25%2F2=0.625

The leg of each is 0.625 unit and you are looking for the hypotenuse, which is the other unknown segment forming the trapezoid.

h=sqrt%280.625%5E2%2B6.5%5E2%29, or this is the length of each of the equal length legs.