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If the ∆ABC is right angled at B, find its circumradius if the sides AB and BC are 15 cm and 20 cm respectively.
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- 25 cm
- 20 cm
- 15 cm
- 12.5 cm
- 25 cm
Correct Option: D
On the basis of question we draw a figure of a right angled triangle ABC and find its circumradius
Here , AB = 15 cm and BC = 20 cm
From ∆ABC ,
AC = √AB² + BC²
AC = √15² + 20²
AC = √225 + 400 = √625 = 25 cm.
∠ABC = 90°
As, AC = diameter
∴ Circum radius (OA) = 25 ÷ 2 = 12.5 cm.