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Mathematics 20 Online
OpenStudy (anonymous):

ive been staring at this for a good 20 minutes any help?

OpenStudy (mathstudent55):

Since one angle is a right angle (90 degrees), and the other known angle is 30 degrees, the third angle measures 60 degrees.

OpenStudy (mathstudent55):

A 30-60-90 degree triangle has well-known ratios of the lengths of the sides: |dw:1364183904243:dw|

OpenStudy (mathstudent55):

Look at the drawing above. In any 30-60-90 triangle, the hypotenuse is twice the length of the short leg. The long leg is sqrt(3) times the length of the short leg.

OpenStudy (mathstudent55):

In your example, you are given that one side measures 16*sqrt(3). Which side is that, the short leg, long leg, or the hypotenuse?

OpenStudy (mathstudent55):

30 , 60, and 90 are angle measures. We are now dealing with the lengths of the sides. The given length in your triangle, 16*sqrt(3) is the length of the short leg, long leg, or the hypotenuse?

OpenStudy (mathstudent55):

No. The legs are the sides that form the right angle. The hypotenuse is the side opposite the right angle.

OpenStudy (mathstudent55):

|dw:1364184403125:dw|

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