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If AB = 55, and BC = 49, find the length of the radius to the nearest tenth. Assume BC is tangent to Circle A.

If AB = 55, and BC = 49, find the length of the radius to the nearest tenth. Assume-example-1
User Dario Pellegrini
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2.8k points

1 Answer

20 votes
20 votes

Answer:

25.0

Explanation:

Notice that points A, B, and C form a right triangle. This allows us to use the Pythagorean theorem, a^2 + b^2 = c^2, to find the missing side. AB is the hypotenuse, so substitute 55 for c, and BC is the leg, so substitute 49 into either a or b in the formula.

a^2 + b^2 = c^2

49^2 + b^2 = 55^2

b^2 = 3025 - 2401

b^2 = 624

b = sqrt (624)

b = 24.9799919936

User Seafish
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2.4k points