Answer:
x = 8, y = 6/√3.
Step-by-step explanation:
The smaller triangle and the larger triangle are similar.
4 / 4√3 = (x - 6) / y
1/√3 = (x - 6) / y
Also
y/6 = 1/√3
⇒ √3y = 6
⇒ y = 6/√3
Substitute for y in the first equation:
1/√3 = (x - 6) / 6/√3
⇒ 1/√3 * 6/√3 = x - 6
⇒ x - 6 = 2
⇒ x = 8
