Question

50 points! What is the value of x? Enter your answer in the box. x =

Answer 1

Answer:

x = 3

Hope this helps!

Step-by-step explanation:

ΔABC is a 45°, 45°, 90° triangle. The longest side ( 6$\sqrt{2}$ ) can be $x\sqrt{2}$ while AB and CB are x. Because 6$\sqrt{2}$ is equal to $x\sqrt{2}$, 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 = $x\sqrt{3}$. CB is equal to 6 so 2x = 6, x = 3.