Calculate the radius of a circle circumscribing a right-angled triangle the length of whose sides are 6 cm and 8 cm.

5 cm

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10 cm

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2.5 cm

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7.5 cm

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Solution

The correct option is A
5 cm

Given that

A circle is circumscribing a right-angled triangle.

The length of its sides are 6 cm and 8 cm.

The length of hypotenuse = $\sqrt{6^{2} + 8^{2}} = \sqrt{100} = 10$ cm

The radius of the circumradius is half of the hypotenuse.

$∴$ The circumradius = $\frac{10}{2} = 5$ cm

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Calculate the radius of a circle circumscribing a right-angled triangle the length of whose sides are 6 cm and 8 cm.

The correct option is A 5 cm Given that A circle is circumscribing a right-angled triangle. The length of its sides are 6 cm and 8 cm. The length of hypotenuse = √62+82=√100=10 cm The radius of the circumradius is half of the hypotenuse. ∴ The circumradius = 102=5 cm