In the figure, ABCD is a square, EFG is a right triangle and

[Max@Math Revolution]

[GMAT math practice question]

In the figure, ABCD is a square, EFG is a right triangle and H is the midpoint of AD. Moreover, point A lies on the line EF. What is the value of x?



A. 200
B. 216
C. 230
D. 236
E. 250

[Max@Math Revolution]

=>

Since triangles EFG and EAH are similar,
(34 + x):20 = 1775: (x/2). So,
x^2 + 34x - 1775*20*2 = 0.
Factoring yields (x+284)(x-250) = 0. Since x must be positive, x = 250.

Therefore, E is the answer.
Answer: E