isosceles trapezoid with large base=11 and small base = 5. calculate height

Question

callisto · Answer

Is the area given?

maheshmeghwal9 · Answer

The length of each diagonal is, according to Ptolemy's theorem, given by

$$    p=\sqrt{ab+c^2}$$

where a and b are the lengths of the parallel sides AD and BC, and c is the length of each leg AB and CD

maheshmeghwal9 · Answer

Therefore; The height is, according to the Pythagorean theorem, given by
$$    h=\sqrt{p^2-\left(\frac{a+b}{2}\right)^2}=\tfrac{1}{2}\sqrt{4c^2-(a-b)^2}.$$

maheshmeghwal9 · Answer

It is copy paste from wiki I swear lol http://en.wikipedia.org/wiki/Isosceles_trapezoid

maheshmeghwal9 · Answer

but i didn't understand the theory.
can u plz solve the question @Callisto :)

callisto · Answer

@maheshmeghwal9 To be practical, we are given length of two sides only. How to find the third side?

maheshmeghwal9 · Answer

ya 
I am too confused @ that

anonymous · Answer

neparalels sides are not given. All I know are large base = 11 and small base = 5.

callisto · Answer

Any diagram / other information?

lgbasallote · Answer

well it says isosceles :)

anonymous · Answer

Unfortunately no...Is a issoceles trapezoid

maheshmeghwal9 · Answer

But without the third side or area How can we find height?

lgbasallote · Answer

|dw:1340010090951:dw|

lgbasallote · Answer

maybe that figure can help?

anonymous · Answer

|dw:1340010088545:dw|