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please answer quickly!! what is the exact value of x and y? please leave an answer if you’re going to comment!! (i’ve posted this 3 times)

please answer quickly!! what is the exact value of x and y? please leave an answer-example-1
User Adam Reis
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2 Answers

14 votes
14 votes
X=17 y=34

EXPLANATION:According to the 30 60 90 rule the Y value would be double the x and the x in the longer leg would be the short leg value
User NateQ
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3.0k points
7 votes
7 votes

To solve this problem

⇒ need to use the special right triangle theorem

30-60-90 triangle theorem (look at diagram attached for the property)

  • (we can use this theorem because the square on one of the angles indicates that the angle is 90 degrees. The other angle is indicated as 60 degrees. All the angles of a triangle should add up to 180, so the last angle is 30 degrees)

Using the theorem:

  • the side facing opposite the 60-degree angle is equal ⇒
    x√(3)


x√(3) =17√(3) \\x = 17

  • the side facing opposite the 90-degree angle is twice the value of x


y = 2x = 2 * 17 =34

Answers:

x = 17 and y = 34

Hope that helps!

please answer quickly!! what is the exact value of x and y? please leave an answer-example-1
User Pankanaj
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2.8k points