Draw the circumcircle of a triangle with sides 6 cm, 8 cm and 10 cm. What is the radius of this circle?

3 cm

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4 cm

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5 cm

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6 cm

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Solution

The correct option is C
5 cm

Steps for construction:

1. Construct $Δ A B C$ with AB = 6 cm, BC = 8 cm and CA = 10 cm.

2. Draw the perpendicular bisectors of any two sides of the triangle (say, AB and BC).

3. Find the point of intersection of the perpendicular bisectors and mark it as O.

4. Measure the distance OA or OB or OC, they are all equal to the radius of the circumcircle.

5. OA = OB = OC = 5 cm

Suggest Corrections

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Question 35

If the length of two sides of a triangle are 6 cm and 10 cm, then the length of the third side can be

a) 3 cm
b) 4 cm
c) 2 cm
d) 6 cm

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