Mathematics · Geometry

A triangle ABC is inscribed in a circle. A tangent is drawn to the circle at point A, intersecting the extension of side BC at D. If AD = 12 cm and CD = 8 cm, what is the length of side BC?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

110 cm✓
212 cm
314 cm
416 cm

Correct answer

10 cm

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A triangle ABC is inscribed in a circle. A tangent is drawn to the circle at point A, intersecting the extension of side BC at D. If AD = 12 cm and CD = 8 cm, what is the length of side BC?

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A triangle ABC is inscribed in a circle. A tangent is drawn to the circle at point A, intersecting the extension of side BC at D. If AD = 12 cm and CD = 8 cm, what is the length of side BC?

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