I know how to construct a right triangle when the hypotenuse & one side are given but how do I construct a right triangle whose hypotenuse is 5.4 cm & one of the acute angles is 30 degrees? What are the steps?

Thanks,

Ron

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- Feb 8th 2010, 05:59 PMrn5aRight Triangle Construction
I know how to construct a right triangle when the hypotenuse & one side are given but how do I construct a right triangle whose hypotenuse is 5.4 cm & one of the acute angles is 30 degrees? What are the steps?

Thanks,

Ron - Feb 8th 2010, 06:05 PMArchie Meade
- Feb 8th 2010, 06:11 PMtonio

Theorem: in a 30-60-90 degree triangle (aka "golden triangle" sometimes), the length of the cathetus in front of the 30 deg. angle is half the hypotenuse's length.

Of course, the other cathetus' length is then $\displaystyle \frac{\sqrt{3}}{2}\cdot hypotenuse$ , according to Mr. Pythagoras.

Tonio