Question

HELPP!!!! I need the answer please

Answer 1

x = 4

Explanation:

Using the 90-60-30 theorem, the hypotenuse is equal to 2a, so a = 4 sqrt(2). The shortest leg is therefore 4 sqrt(2). Using this, to find x, plug it into the smaller triangle. The hypotenuse of the smaller triangle is therefore 4 sqrt(2). Using the 45-45-90 theorem, 4 sqrt(2) = x sqrt(2), so x = 4. This is because there are two sqrt(2)'s', so taking that out of the equation leaves x = 4.

Hope this helps!