Find the length of the tangent

Geometry Level 5

ABC is an acute angle triangle with side AC=10cm. A perpendicular is drawn from point A on side BC that cuts the side BC at point D. Length of AD=6cm. \(\angle BAD=30°\). Then two tangents are drawn from points B and C to the circumcircle of ΔACD &ΔABD respectively. Consider those two tangents are BT&CS respectively. Then find the ratio of \[\frac{BT×CS}{BC}\]

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Find the length of the tangent

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Community

100 Day Summer Challenge

Find the length of the tangent

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.