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If a right angled triangle has a hypotenuse of length 5cm and I know?
one of the other angles (measured in radians), how can I find the size of the other angle (in radians) without converting to degrees?
Thanks for your answers (can't believe I missed the obvious!), the hypotenuse length was needed for the next part of the question xx
5 Answers
- stanschimLv 71 decade agoFavorite Answer
The answer does not depend on the length of the hypotenuse. Since there are π radians comprising the interior angles of a triangle, simply subtract the known angle's measure in radians from π/2 radians.
That's it!
- gooberLv 71 decade ago
The right angle is pi/2 radians and the sum of all angles in a triangle is pi radians.
So to find the unknown angle just subtract the one you know from pi/2.
The length of the hypotenuse doesn't matter.
- tsr21Lv 61 decade ago
Length is irrelavant. All angles in a triangle add up to pi radians, and a right angle is pi/2, so the third angle is simple pi/2 - x where x is the angle you know.
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- Anonymous1 decade ago
do you use sohcahtoa?
