Question

Find the value of x.

Answer 1

i got \[\sqrt{260}\]

Answer 2

if u label the line in the middle y and the last unlabeled line z then u can form 3 equations and sole from there
middle line:y
other leg of big triangle:z
y^2+10^2=x^2
16^2+y^2=z^2
x^2+z^2=26^2

so solve for y^2 in the second equation:
y^2=z^2-16^2
substitute back into first equation
z^2-16^2+10^2=x^2

solve for z^2 in third equation
z^2=26^2-x^2 and put into the equation i just made above

26^2-x^2-16^2+10^2=x^2
so:
2x^2=26^2-16^2+10^2
after u finish solving u get
x=sqrt(260)

Answer 3

Don't know what I was thinking, but I am getting sqrt{260} as well