Answer:
x = 12sqrt(2)
Step-by-step explanation:
We know that is the two angle are equal, the two sides opposite them are equal (isosceles triangle) so both legs of the right triangle are x
Then using the pythagorean theorem
a^2 + b^2 =c^2
where a and b are the legs (which are both x in this case) and c=24
x^2 + x^2 = 24^2
Combine like terms
2x^2 = 576
Divide by 2
2x^2/2 = 576/2
x^2 =288
Take the square root of each side
sqrt(x^2) = sqrt(288)
We know that sqrt(ab) = sqrt(a) sqrt(b)
x = sqrt(144)sqrt(2)
x = 12sqrt(2)
