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Triangle ABC has side lengths c = 29, a = 40, and b = 40. Find the inradius of triangle ABC. Find the circumradius of triangle ABC.

 Dec 26, 2022
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Acute isosceles triangle.

Sides: a = 40   b = 40   c = 29

Area: T = 540.551
Perimeter: p = 109
Semi-perimeter: s = 54.5

 

 

T=rs 
r=T / s
​= 540.55 / 54.5
​=9.92 - the Inradius.

 

R=[abc] / [4rs] ==[40 * 40 * 29] / [4 * 9.918 * 54.5]
R==21.46 - the Circumradius.

 Dec 27, 2022

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