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Criteria for Congruency of Triangles

A circle with...

Question

A circle with center O and radius = 5 cm has two chords AB and AC, such that AB = AC = 6 cm. If by joining B and C the line segment passes from the center of the circle O, then what is the length of BC?

A

5 cm

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B

9 cm

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C

10 cm

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D

8cm

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Solution

The correct option is C 10 cm
As the line segment BC passes through the center, it means that it is a diameter of the circle.

Given that radius of the circle = 5 cm
$∴$ Diameter = 5 + 5 = 10 cm

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