Find the length x in each triangle. Express the answer in simplified radical form?

well, you just use pythagorean theorem, so:

x^2 + y^2 = z^2

x = ?

y = 15

z = 20

x^2 = 20^2 - 15^2

x^2 = 175

x = sqrt(175)

x = sqrt (25 * 7)

x = 5 * sqrt(7)

Okay. I don't know what you exactly mean by bottom and middle and side, but I presume the right angle exists between the bottom and the middle, and the side is the hypotenuse. In that case, x^2 = 15^2 + 20^2 = 225 + 400 = 625,

hence x = 25.

However if x is one of the arms of the right angle, then, the hypotenuse is of length 20. Hence,

x^2 = 20^2 - 15^2 = 400 - 225 = 175

hence x = 13.23.

If by x you refer to the hypothenuse, then you have a 3-4-5 triangle, and x = 25.

If 20 is the hypothenuse (your use of "middle" and "side" is unclear), then x = sqrt(400 - 225) = sqrt(175) = 5sqrt(7) = 13.2287 (rounded).

If i am reading this correctly...

15^2+20^2=x^2

x=25

x^2=20^2-15^2.

Then you need to find the square root.

x= (sqrt) 175

x=25(7)

x=5(sqrt)7

Just use the pythagriam theory. (sp?)

15^2 +x^2=20^2

x^2=20^2-15^2

x^2=400-225

x^2=175

x=square root 175

x=13.231....

Pl state clearly WHAT IS x???Hypotnuse or other side???