1 Answer | Add Yours
This is a 30˚-60˚-90˚ triangle. This has special properties in which the sides have a ratio of `1:sqrt(3):2.`
This means that the side opposite the 60˚ angle is `sqrt(3)` times larger than the side opposite the 30˚ angle, and the hypotenuse is twice as long as the short side, oppositite the 30˚ angle.
Since, x is opposite the 60˚ angle, x is the long leg, which is `sqrt(3)` times as long as the short leg, y.
However, y is `1/2` as long as the hypotenuse. This means y is 5, which is the short leg. x, the long leg is `sqrt(3)` times the short leg of 5.
This means x is `5sqrt(3).`
The value of x is `5sqrt(3).`
We’ve answered 319,620 questions. We can answer yours, too.Ask a question