Question

50 points!

What is the value of x?


Enter your answer in the box.

x =

Answer 1

x = 3

Hope this helps!

Explanation:

ΔABC is a 45°, 45°, 90° triangle. The longest side ( 6
`√(2)` ) can be
`x√(2)` while AB and CB are x. Because 6
`√(2)` is equal to
`x√(2)`, you can see that x is equal to 6. Both AB and CB are equal to 6. ΔBDC ( CDB ) is a right triangle ( 30°, 60°, 90° ) so, BD = x, CB = 2x, and CD =
`x√(3)`. CB is equal to 6 so 2x = 6, x = 3.