Geometry problem?

Question

http://www.e-zgeometry.com/pow/pictures/25.gif

find x interms of y

Answer 1

(4y)/3-(3y)/4

Answer 2

The length of the horizontal base can be expressed as
x + 4 + h
where h is an unknown.

Using similar triangles, take the ratio of the horizontal side to the vertical side and we have:

5/3 = (x + 4 + h)/y
5y = 3x + 12 + 3h

4/3 = (4 + h)/y
4y = 12 + 3h

Subtracting the second equation from the first we have
y = 3x
x = ⅓y

Answer 3

x = y

Don't believe me?

Explanation:
take the 3,4,x triangle and the y triangle that shares the sides of that triangle.
the ratio of the small triangle is 3:4:5
the small triangle shares an angle and a rt angle with the big triangle so the big triangle has the same ratio making the sides 3y:4y:5y

3y is the original y side and 4y is the bottom

Now use the bigger triangle and y-side triangle.
the ratio of the small triangle is 3:5:rt34
it shares an angle with the big triangle making the big triangle 3y:5y:(rt34)y

3y is the original y side and 5y is the bottom. now compare the facts you learned from both triangles

3y:4y and 3y:5y

but the 5y is really x + the smaller triangle (4y)
so 5y = x + 4y

subtract 4y from both sides and you are left with
y = x

Answer 4

Use similar triangles and write the length of the sides in terms of x and y. Then you can solve for x.