Question

How do I find the value of x

Answer 1

4 units.

Step-by-step explanation

Triangle RQT is a right isosceles triangle.

This implies that:

RQ=RT=x.

Triangle RTS is also a right angle triangle with hypotenuse, RT=x.

Also, the side with length , 2√3 units is opposite to the 60° angle.

We use the sine ratio, to obtain:

`\sin(60 \degree) = (opposite)/(hypotenuse)`

`\sin(60 \degree) = (2 √(3) )/(x)`

Solve for x to obtain;

`x= (2 √(3) )/( \sin(60 \degree))`

This gives us:

`x= (2 √(3) )/( ( √(3) )/(2) ) = 4`

Therefore the value of x is 4 units.