A triangle with vertices A, B, and C overlaps a circle. Vertex A is at the center of the circle and AB is a radius of the circle. The length of AB is 9 units, the length of BC is 12 units, and the length of AC is 15 units. Is BC tangent to the circle? Justify your answer. Yes, because BC is the second longest side of the triangle. No, because BC touches the circle at multiple points. Yes, because the angle B is at a right angle. No, because the Pythagorean theorem shows that the triangle is not a right triangle.
A triangle with vertices A, B, and C overlaps a circle. Vertex A is at the center of the circle and AB is a radius of the circle. The length of AB is 9 units, the length of BC is 12 units, and the length of AC is 15 units. Is BC tangent to the circle? Justify your answer. Yes, because BC is the second longest side of the triangle. No, because BC touches the circle at multiple points. Yes, because the angle B is at a right angle. No, because the Pythagorean theorem shows that the triangle is not a right triangle.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.1: Law Of Sines
Problem 4ECP: Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.
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