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Triangle ABC has circumcenter O. If AB = 10 and [OAB] = 50 find the circumradius of triangle ABC.

 Jul 26, 2021
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Triangle ABC has circumcenter O. If AB = 10 and [OAB] = 50 find the circumradius of triangle ABC.

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Let ΔABC be an isosceles triangle with base AB = 10.

 

Let the midpoint of AB be M

 

 OM = (2 * 50) / 10 = 10

 

Circumradius    R = sqrt(OM2 + AM2)

 

R = √125

 Jul 27, 2021

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