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A right triangle is shown with an angle that measures 60 degrees. The leg adjacent to the 60 degree angle is labeled 5. The leg opposite of the 60 degree angle is labeled x. The hypotenuse is labeled 10.
Find the value of x. If your answer is not an integer, leave it in the simplest radical form. The diagram is not drawn to scale.

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BiancaGrodecki

Answer:

x=5

Step-by-step explanation:

Because this is a 60 60 90 triangle, we know both of the sides opposite to the 60° angles are the same. Both of these can be labeled with x.

We know that ax^2+bx^2=hypotenuse^2.

Since both of our x values are going to be the same, we can write 2x^2=10^2

Finding the square root of both sides turns the equation into 2x=10. Dividing both sides by 2 gives us x=5.

Hope my explanation makes sense!

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