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anonymous
 5 years ago
Pleaaaase help me! What is the radius (r) of a circle inscribed in a "121620" right triangle? The answer must be either a whole number, in reduced fraction form, or simplified radical form (no decimals). I can't paste the picture here but what it basically looks like is a right triangle with the two legs being 16 and 12 and the hypotenuse being 20. Inside the triangle is a circle and there is one radius line drwan in it...
anonymous
 5 years ago
Pleaaaase help me! What is the radius (r) of a circle inscribed in a "121620" right triangle? The answer must be either a whole number, in reduced fraction form, or simplified radical form (no decimals). I can't paste the picture here but what it basically looks like is a right triangle with the two legs being 16 and 12 and the hypotenuse being 20. Inside the triangle is a circle and there is one radius line drwan in it...

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if you connect the angles with the midpoint of the opposite sides, you find the center of the triangle.... that much I have so far :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What do you know about incentres/incircles? I guess nothing, as then this would be trivial :/

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0I come to radius=4. If we take the intersection of the lines as the center for our circle, then y = 4... if I did it right :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You are right.. In general, the radius is (xy)/(x+y+z)  where z = hypotenuse.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0y = (3/8)x and y = (3/4)x + 12 is what I used

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0yay!!... im glad I was right :) thanx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I like your method, by the way. I've seen others answer questions like that with lines rather than geometric rules, and it always surprises me  I never spot to do things like that :(

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x = 32/3 which when plugged in gets me y = 4 :)
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