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The length of the two sides forming the right angle of a right-angled triangle are 6 cm and 8 cm. The length of its circum-radius is :
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- 5 cm
- 7 cm
- 6 cm
- 10 cm
- 5 cm
Correct Option: A
On the basis of question we draw a figure of a right-angled triangle whose two sides are 6 cm and 8 cm
∠ABC = 90°
AC = Diameter of circle
From ∆ABC ,
∴ AC = √AB² + BC²
∴ AC = √6² + 8² = √36 + 64
AC = √100 = 10 cm
∴ Circum-radius = AC / 2 = 5 cm