SOLUTION: In a 30-60-90 right triangle, how would you use the Pythagorean Theorem [a²+b²=c²] to prove the relationship?

Algebra ->  Pythagorean-theorem -> SOLUTION: In a 30-60-90 right triangle, how would you use the Pythagorean Theorem [a²+b²=c²] to prove the relationship?       Log On


   

Question 870426: In a 30-60-90 right triangle, how would you use the Pythagorean Theorem [a²+b²=c²] to prove the relationship?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
What relationship?

If you are referring to the fact that the sides are in the ratio 1:sqrt(3):2, you cannot really prove that using just Pythagorean thm (you can show that the sides form a right triangle, but nothing else). To show that a triangle with sides 1:sqrt(3):2 is a 30-60-90, you should use law of sines.