SOLUTION: From her home, Ling would have to walk due north to get to her friend Allie's house and due east to get to her friend Reid's house. It is 5 miles from Ling's house to Reid's house

Algebra ->  Pythagorean-theorem -> SOLUTION: From her home, Ling would have to walk due north to get to her friend Allie's house and due east to get to her friend Reid's house. It is 5 miles from Ling's house to Reid's house       Log On


   

Question 1200951: From her home, Ling would have to walk due north to get to her friend Allie's house and due east to get to her friend Reid's house. It is 5 miles from Ling's house to Reid's house and a straight-line distance of 7 miles from Allie's house to Reid's house. How far is Ling's house from Allie's house? If necessary, round to the nearest tenth.
Answer by ikleyn(52761) About Me  (Show Source):
You can put this solution on YOUR website!
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In this problem, you are given a right-angled triangle.

Point L is the vertex of the right angle.

The leg LR due East is 5 miles long.

The hypotenuse AR is 7 miles long.


They want you find the length of the leg LA, which is due to North.


Use the Pythagorean formula

    LA = sqrt%287%5E2+-+5%5E2%29 = sqrt%2849-25%29 = sqrt%2824%29 miles.


To get the value, use your calculator.

Solved.

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Extremely simple problem.