Home » Aptitude » Plane Geometry » Question
  1. If the ∆ABC is right angled at B, find its circumradius if the sides AB and BC are 15 cm and 20 cm respectively.
    1. 25 cm
    2. 20 cm
    3. 15 cm
    4. 12.5 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.



Your comments will be displayed only after manual approval.