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OLEGan [10]
3 years ago
9

Circle a has a radius of 3 and circle b has a radius of 11. if the idstance between the center of the circles in 17, find the le

ngth of the common external tangent
Mathematics
1 answer:
Andrews [41]3 years ago
3 0
Use Pythagorean Theorem:
a² + b² = c²
"a" is one side of the right triangle.
Its length is: radius of larger circle minus radius of smaller circle: (11 - 3 = 8)
The distance between the center of the circles creates the hypotenuse (17)
8² + b² = 17²
       b² = 225
       b = 15

Answer: the length of the common external tangent is 15.

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Step-by-step explanation:

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x = \sqrt{9.8} ≈ 3.1 ft ( to the nearest tenth )

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3 years ago
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