Question

What is the value of x?

Answer 1

AC is the hypotenuse of triangle ABC.

Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.

This means AB is 6, which it the hypotenuse of triangle BCD.

Using cos(angle) = adjacent leg / hypotenuse we can find x:

cos(60) = X / 6

x = 6 * cos(60)

x = 3

Answer 2

AC is the hypotenuse of triangle ABC.

Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.

This means AB is 6, which it the hypotenuse of triangle BCD.

Using cos(angle) = adjacent leg / hypotenuse we can find x:

cos(60) = X / 6

x = 6 * cos(60)

x = 3