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erma4kov [3.2K]
4 years ago
12

A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a

point of tangency, find the direct distance between the lizard and the cactus (x). If necessary, round to the hundredths place.
Mathematics
1 answer:
frez [133]4 years ago
4 0
We will use the Pythagorean theorem:
8² + 12² = c² 
64 + 144 = c²
c = √208 ≈ 14.42
14.42 - 12 = 2.42 in
The direct distance between the lizard and the cactus is 2.42 inches. 
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