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Let AB = 5, BC = 12, and AC = 13. What is the circumradius of the triangle ABC?

 

What I tried so far:

I drew the triangle with the side lengths and realized that the point from A to the middle of BC forms a right angle, and splits 12 into half. 

 Nov 3, 2021
 #1
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From the formula for circumradius, R = 85/12.

 Nov 3, 2021
 #2
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Thank you!

Pigwidgeon  Nov 3, 2021
 #3
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Semi perimeter = 30/2

Area = sqrt[s(s-a)(s-b)(s-c)

Inradius = A/s

Circumradius (R) = (a*b*c) / (4*r*s)

R = 6.5

civonamzuk  Nov 3, 2021
 #4
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Thank you, civonamzuk! laugh

Guest Nov 3, 2021

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