Math Help -.-..I'm stuck geometry question
 

I tried splitting up the image into 3 parts, 2triangles, retangle, and tried doing the Pytagorean Theorem on the triangle, no luck because each triangles base can't be 5 since it isn't a isosceles trapezoid. My teacher had problems with it in the teacher manual said they split it into a parallelogram and a triangle, but I still won't get the height of the triangle because I can't define if its a isosceles triangle.



If you figure it out mind explaning.

The real question is find the area, I got the area from teacher but she wants to know how to find the height, got me confused -.-...

Sorry for my bad English ;)
the line that is || the side of length 6 is right. the triangles bottom sides length is 10 (32-22=10)

So you get a triangle with sides 6 8 10 these numbers are specific for a triangle with 90*. to get the height u firstly need to get the triangles square. square = 6*8/2.
And finally the height = 2*square/a . Where a = 10.
If the triangle you got is without the 90* corner then the formula for its square is S=sqrt(p(p-a)(p-b)(p-c)) the formula is called Heron formula. And p = (a+b+c)/2 a,b,c are the sides of the triangle

Thanks, but if the total area of the complete trapizoid is 129.65(something) how is this possible? teacher handbook said thats what total area is.

Heres my work:

square of triangle(sot) = a*b/2
sot = 6*8/2
sot = 48/2
sot = 24

height = 2*square/a
height = 2*24/6
height = 48/6
height = 8

trapizoid area(ta) = (h(b1+b2))/2
ta = 8(22+32) / 2
ta = 8*52 / 2
ta = 416 / 2
ta = 208 units squared

square of triangle(sot) = a*b/2
sot = 6*8/2
sot = 48/2
sot = 24


//a is the side of triangle to which the height is pointing
// if you imagine a triangle ABC and the height is A to a point on BC then BC is that "a"
height = 2*square/a
height = 2*24/10
height = 48/10
height = 4.8

trapizoid area(ta) = (h(b1+b2))/2
ta = 4.8(22+32) / 2
ta = 4.8*54 / 2
ta = 259.2 / 2
ta = 129.6 units squared

OHHH DUDE XD NICE, I used 8 instead of 10, and some other bugz :P :$ wow your a life savor, going to show off to my teacher monday :)