Answer:
X = 64
Step-by-step explanation:
Comparing the two triangle put the right angle into consideration.
(17 + X)/(X + 8) = (X + 8)/X
Cross multiplying
X(17 + X) = (X + 8)(X + 8)
17X + X^2 = X^2 + 8X + 8X + 64
Collecting like terms
X^2 - X^2 + 17X - 8X - 8X = 64
X = 64
