Question

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.

A. Yes, AC=5. Since ∠ABC is right, the triangle is right, and so the remaining side length must be 5.

B. No, AC does not necessarily equal 5. Although the triangle is a right triangle, AC can be a range of values.

C. Yes, AC=5. Since AB=3 and BC=4, the triangle must be right, and so the remaining side length must be 5.

D. No, AC does not necessarily equal 5. It cannot be determined that ∠ABC is right.

Answer 1

Answer:

(C) i think explains it the best. you can choose for yourself though.

Step-by-step explanation:

basically if bc is tangent, angle b must be rt.angle. by pythagoras triplet (3,4,5). side ac must be 5cm.