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 8 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?
2.24 miles
2.65 miles
3.74 miles
5.29 miles

Answer 1

5.29 miles

Explanation:

I just took the quiz and this was right

Answer 2

Given

a right triangle with right angle at B

AC = 8 mi

BC = 6 mi

Find

AB

Solution

The Pythagorean theorem tells you

... AC² = AB² + BC²

... 8² = AB² + 6²

... AB² = 64 -36

... AB = √28 ≈ 5.29 . . . . miles