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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 BC Is Tangent To Circle A class=

Sagot :

Answer:

25.0

Step-by-step 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

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