Learn how to show that a line is tangent to a circle by applying the quadratic formula

Learn how to show that a line is tangent to a circle by applying the quadratic formula

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine if a line is tangent to a circle. It begins by defining a tangent line as one that touches the circle at exactly one point and forms a right angle with the radius. The instructor then demonstrates how to use the Pythagorean theorem to verify if a line is tangent by checking if the theorem holds true, indicating a right angle. The example provided involves calculating squares of given lengths and confirming the equality. The tutorial concludes by applying this method to solve related questions.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of verifying if the Pythagorean theorem holds true for the given triangle.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusion can be drawn if the Pythagorean theorem is satisfied in this context?

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