XYZ is a right angled triangle and ∠Y = 90°. If XY

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XYZ is a right angled triangle and ∠Y = 90°. If XY = 2.5 cm and YZ = 6 cm then the circumradius of ∆ XYZ is :

1. 6.5 cm
2. 3.25 cm
3. 3 cm
4. 2.5 cm

Correct Option: B

According to question , we draw a figure triangle XYZ

XY = 2.5 cm
YZ = 6 cm
∴ XZ = √XY² + YZ²
XZ = √(2.5)² + (6)²
XZ = √6.25 + 36
XZ = √42.25 = 6.5 cm
The angle of semi-circle is right angle.
∴ XZ = Diameter of circle
∴ Circum-radius = 65 ÷ 2 = 3.25 cm