Question

What is the value of x? Enter your answer in the box.

Answer 1

Check the picture below.

notice, we use the 30-60-90 rule to get the length of RT, and then the 45-45-90 rule to get "x".

Answer 2

Answer:

Step-by-step explanation:

Remark

x is going to be the same thing as the hypotenuse of ΔRST.  Find that and you have x.

Givens

<STR = 60°

RT = 2√3

Solution

Sin(60°) = opposite / hypotenuse

Sin(60°) = √3 / 2

Sin (60°)= 2 √3 / hypotenuse

hypotenuse = 2√3 // sin(60°)

hypoteneuse = 2√3 /√3/2

$\text{hypotenuse = }\dfrac{2\sqrt{3}}{\dfrac{\sqrt{3} }{2}} = 2*2$

The √3's cancel. The answer is 4

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ΔRTQ is a right angle isosceles triangle

∴RT = RQ

X = 4