Question

What is the value of x?

Answer 1

The value of x is 4, because RT is 2 times the length of ST.
And in an isoceles triangle, 2 sides are equal.

Answer 2

Triangle RST is a special triangle; it's a 30-60-90 triangle. Since side RS is 2root3, we know that side RT has to be 4.

Triangle RTQ is also a special triable, it's a 45-45-90 triangle. We know that sides RT and RQ have to be congruent.

We know already that side RT is 4, so side RQ has to be 4 as well.

X=4