The Pythagorean theorem

AB ll ED. Suppose that AC=12,AE=9, and BC=15 find CD. I set it up like this 12/9 =x/15 I got it wrong and am lost on how to do this The Second part of the probelm was like this It is given that TRIANGLE RST ~XYZ(not shown). If RS=10,ST=12,RT=16,and Xy=6, Find xz( I drew this out and couldnt find a common pattern or a path triple) I need help....

45-45-90 Triangles

In a 45-45-90 triangle, the length of each leg is 18. Find the exact length of the hypotenuse......I drew this out and got 2 over the sq root 9.... I dont know where i went wrong with this one... 2nd q...In the 45-45-90 triangle, the length of the hypotenuse is 20m. Find the EXACT length of each leg...... SO if the hyp is 20 i assumed the legs were 10 since a +a ..... I need clarification and a detailed solution for these

Triangles and Diagonals of a rhombus

The measures of the angles of a triangle are in the ratio of 2:3:4. What is the measure of the smallest angle? Im not really sure how to go about this problem because I dont know what the meausre of the triangle is.... Each Side of a rhombus measures 10 inches.If one diagonal of the rhombus is 12 inches long, what is the length of the other diagonal. I thought it was 12 since they form a vertical angle but I was wrong........

Ellipse

I am trying to solve a problem on the ellipse... 3x^2 + y^2 + 18x - 8y - 64 = 0 I have also attached the question that I was assigned. I'm not asking you to solve that problem but if you could possibly show me an example of something similar I would appricate it ...

Circles

If BA and CA are external tangents to circle P from an external point A and m