#1**+1 **

The triangle on the lft is a 30-60-90 right triangle

The altitude = 8 * √3/2 = 4√3 = √48

Since the triangle on the right is a 45 - 45 - 90 right triangle

The altitude = the base = √48 = length of the legs

So..by the Pythagorean Theorem

x =

√ [ ( √48 )^2 + ( √48)^2 ] =

√96 =

√16 * √6 =

4√ 6

CPhill Nov 19, 2018