Math problem

2 circles of radius 1 are tangent to line AB so that their centers are 10 units apart. Circles C and D are put so that Circle C is tangent to the first circle of radius 1, line AB, and Circle D; and Circle D is tangent to Circle C, line AB, and the second circle of radius 1. If P is equal to the product of the radii of circles C and D, what is the range of P?

#Geometry

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
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`\sum_{i=1}^3`	$\sum_{i=1}^3$
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Comments

If by range you mean the difference between the highest and lowest possible values for $P$ , then is the answer $19$ ( $25-6$ )?

David Stiff - 1 year, 4 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$