Answer:
6.73
Step-by-step explanation:
Remark
There might be an easier way to do this problem. I'm certain I don't know what it is. Begin by called WY = y
Givens
WY = y
WZ = x
XW = 25 - y
XZ = 24
YZ = 7
Equations
x^2 + y^2 = 7^2
(25 - y)^2 + x^2 = 24^2
Solution
x^2 = 7^2 - y^2
x^2 = 24^2 - (25 - y)^2
Since both xs are the same, you can equate the right side of the equations.
7^2 - y^2 = 24^2 - (25 - y)^2 Expand the brackets
7^2 - y^2 = 24^2 - (625 - 50y + y^2) Remove the brackets.
7^2 - y^2 = 576 - 625 + 50y - y^2 Cancel the y^2. Combine 576 and 625
49 = - 49 + 50y Add 49 to both sides
98 = 50y Divide by 50
y = 1.96
Now use y to find x
x^2 + y^2 = 7^2
x^2 = 7^2 - 1.96^2
x^2 = 45.1584
x = 6.72
