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You are watching: What is the value of side "a" in the triangle shown below? This is a 30˚-60˚-90˚ triangle. This has actually special nature in which the sides have a proportion of `1:sqrt(3):2.`

This method that the side opposite the 60˚ edge is `sqrt(3)` times larger than the side opposite the 30˚ angle, and also the hypotenuse is twice as long as the short side, oppositite the...

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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 next opposite the 60˚ edge is `sqrt(3)` times larger than the side opposite the 30˚ angle, and the hypotenuse is twice as long as the brief side, oppositite the 30˚ angle.

Since, x is the opposite the 60˚ angle, x is the long leg, which is `sqrt(3)` times as lengthy as the short leg, y.

However, y is `1/2` as long as the hypotenuse. This method y is 5, which is the short leg. X, the long leg is `sqrt(3)` time the quick leg that 5.

See more: Which Of The Following Is A Property Of Bases? Which Of The Following Are Properties Of Bases

This means x is `5sqrt(3).`

The worth of x is `5sqrt(3).`

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