Question

The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scale.) A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 9 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B? 6.71 miles 7.35 miles 8.66 miles 10.82 miles.

Answer 1

6.71 miles

use the Pythagorean theorem 

6^2 + x^2 = 9^2

36 + x^2 = 81
81-36= 45 

square root of 45 is approximately 6.71 miles