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math challenge II geometry 5.26 a

 
 
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math challenge II geometry 5.26 a
by Jialin Wang - Thursday, 7 October 2021, 7:06 PM
 

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.

 
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Re: math challenge II geometry 5.26 a
by John Lensmire - Monday, 11 October 2021, 10:55 AM
 
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?
 
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