In the figure provided, ⊙A is given with a radius of 3, BC=4, and CB←→ tangent to ⊙A at B. Can it be concluded that AC=5? Explain.No, AC does not necessarily equal 5. Although the triangle is a right triangle, AC can be a range of values.No, AC does not necessarily equal 5. It cannot be determined that ∠ABC is right.Yes, AC=5. Since AB=3 and BC=4, the triangle must be right, and so the remaining side length must be 5.Yes, AC=5. Since ∠ABC is right, the triangle is right, and so the remaining side length must be 5. BA

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Answered: 3, BC=4, and CB←→ tangent to ⊙A at B.…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section: Chapter Questions

Problem 26CLR

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In the figure provided, ⊙A is given with a radius of 3, BC=4, and CB←→ tangent to ⊙A at B. Can it be concluded that AC=5? Explain.

No, AC does not necessarily equal 5. Although the triangle is a right triangle, AC can be a range of values.
No, AC does not necessarily equal 5. It cannot be determined that ∠ABC is right.
Yes, AC=5. Since AB=3 and BC=4, the triangle must be right, and so the remaining side length must be 5.
Yes, AC=5. Since ∠ABC is right, the triangle is right, and so the remaining side length must be 5.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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