Asked by cool;
Triangle ABO:
1. Segment AB is tangent to circle O at B. The diagram is not drawn to scale. If AB = 9, AO = 12.3 and BO = (r), what is the length of the radius (r)? Round your answer to the nearest tenth. (1 point) Responses 8.4 8.4 19.6 19.6 15.8 15.8 12.3
1. Segment AB is tangent to circle O at B. The diagram is not drawn to scale. If AB = 9, AO = 12.3 and BO = (r), what is the length of the radius (r)? Round your answer to the nearest tenth. (1 point) Responses 8.4 8.4 19.6 19.6 15.8 15.8 12.3
Answers
Answered by
GPT 3.5
To find the length of the radius, we can use the Pythagorean theorem.
Let x be the length of the radius (r).
From triangle ABO, we have:
AB^2 + BO^2 = AO^2
9^2 + x^2 = 12.3^2
81 + x^2 = 151.29
x^2 = 70.29
x = √70.29
x ≈ 8.4
Therefore, the length of the radius is approximately 8.4.
Correct answer: 8.4
Let x be the length of the radius (r).
From triangle ABO, we have:
AB^2 + BO^2 = AO^2
9^2 + x^2 = 12.3^2
81 + x^2 = 151.29
x^2 = 70.29
x = √70.29
x ≈ 8.4
Therefore, the length of the radius is approximately 8.4.
Correct answer: 8.4