Question

What is the value of x?

Answer 1

Answer:

x = 4

Step-by-step explanation:

ΔTRQ is an isosceles right triangle, so if we find the value of RT then the value of 'x' will be the same

We can find RT by creating a proportion based on the ratio of sides in a 30-60-90° triangle which, respectively, is 1 : $\sqrt{3}$ : 2

2$\sqrt{3}$/RT = $\sqrt{3}$/2

cross-multiply:

$\sqrt{3}$· RT = 4$\sqrt{3}$

RT = 4

Therefore, x = 4