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In a ∆ PQR, ∠RPQ = 90°, PR = 6 cm andPQ = 8 cm, then the radius of the circumcircle of ∆ PQR is
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- 5 cm
- 3 cm
- 4 cm
- 4.5 cm
- 5 cm
Correct Option: A
On the basis of question we draw a figure of an right angled triangle ,
Here , ∠RPQ = 90°, PR = 6 cm andPQ = 8 cm,
From ∆QPR ,
∴ RQ = √PR² + PQ²
RQ = √6² + 8² = √36 + 64
RQ = √100 = 10 cm
∴ Circum-radius = 10 ÷ 2 = 5 cm