This is a 30-60-90 triangle. What is the measure of x? x √3

Step-by-step explanation:

√

3

in

Explanation:

In a

30

−

60

−

90

special right triangle:

Side opposite to

30

degrees:

x

Side opposite to

60

degrees:

x

√

3

Side opposite to

90

degrees:

2

x

So, in this case, we must find the side opposite to the

60

degrees, because the hypotenuse (given in the question) is always the opposite side of

90

degrees, and the shortest side is always opposite to the shortest angle (in this case,

30

degrees).

First, we can use the given hypotenuse value and the expressions above to solve for

x

, the shortest leg length.

2

x

=

2

in

x

=

1

in

Therefore, the longer leg:

x

√

3

=

√

3

in

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