kathyrobertson1 kathyrobertson1
  • 24-08-2018
  • Mathematics
contestada

Triangle is a right triangle. If AC = 15 and BC = 17, find AB

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sqdancefan
sqdancefan sqdancefan
  • 04-09-2018

We assume the right angle is at A. Then the Pythagorean theorem tells you

... BC² = AC² + AB²

... 17² = 15² + AB²

... 289 - 225 = AB² . . . . . . subtract 15²

... 64 = AB² . . . . . . . . . . . . simplify

... 8 = AB . . . . . . . . . . . . . . .square root

The length of AB is 8.

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