Town B is 6 miles due north of town A, and town C is due east of town A. It is 11 miles from town B to town C. Find the distance from town A to towAn C.

12.53 miles

Step-by-step explanation:

6² + 11² = x²

36 + 121 = x²

157 = x²

x = 12.53 miles

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Explanation:

See the diagram below

We have a right triangle with legs of 6 and x. The hypotenuse is 11. Use the pythagorean theorem to solve for x

a^2+b^2 = c^2

x^2+6^2 = 11^2

x^2 + 36 = 121

x^2 = 121-36

x^2 = 85

x = sqrt(85) is the exact distance

x = 9.219544 is the approximate distance

units are in miles

2500

step-by-step explanation: