Question

What Is The Length Of RT?

A. 4.2
B. 7.7
C.8
D.22.5
E. 24
Please Explain How You Got The Answer .

Answer 1

RT=11.2
Explanation

Answer 2

RT = 11.2

Explanation:

First, you have to find the central angle 360/3 ( 360 degrees divided by the amount of sides) = 120 then divide that by 2 = 60, so now you know that it's a 30 - 60 - 90 triangle. Then, you must use trigonometric ratios(SOH - CAH - TOA), in this case you need to use sin because you have the hypothenuse and your solving for x so you can use the opposite since you know your angle is 60. So then, Sin60 = x/9 ⇒ 9 * Sin60 = x. So, x = 7.7. Now, last but not certainly not least add the two segments together, 3.5 + 7.7 = 11.2

Result,

Oof, I'm wrong. Sorry I tried.