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

Mathematics

1 answer:

frosja888 [35]9 months ago

8 0

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.

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Step-by-step explanation:

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