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math challenge II geometry 5.26 a

 
 
WangJialin的头像
math challenge II geometry 5.26 a
WangJialin - 2021年10月7日 Thursday 19:06
 

it asks my to prove the ABC/4R formula with a right triangle. I did the equilateral one successfully but I don;t know how to do this one. I only know that the hypotenuse is on the diameter.

 
LensmireJohn的头像
Re: math challenge II geometry 5.26 a
LensmireJohn - 2021年10月11日 Monday 10:55
 
The hypotenuse IS the diameter, correct? So that means you know the hypotenuse (c) in terms of the radius. Since the triangle is a right triangle, what is it's area in terms of a and b?