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Draw a diagram of circle p and incribed in triangle ABC where AB = AC = 12 and BC = 8. What is the radius of circle p?​

 Mar 2, 2021
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First.....find the area of the  triangle

 

S = semi-perimeter  =  (12 + 12 + 8)    /  2    =   32 / 2  =  16

 

Area  =  sqrt  [  16 ( 16 -12)^2 ( 16 - 8)  ]  =  32sqrt(2)

 

radius of incircle      =  (  2 * Area )  / ( perimeter)  =  (  2 * 32 sqrt (2)  ]  / 32  =   2sqrt (2)

 

Here's the image  :

 

 

cool cool cool

 Mar 2, 2021

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