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?
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
Hi Ron,
If one acute angle is 30 degrees, then the other acute one is (90-30)=60 degrees. You can project these lines away from the hypotenuse until they meet at the right-angled corner.
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
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 , according to Mr. Pythagoras.