From her home, darcy travels due north. she then turns east and travels for 15 miles to reach her destination. at this point, measuring in a straight line, she is 17 miles from home. how far did darcy travel due north before she turned to the east?

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✧Answer✧:

8 miles  ♡ _∩_∩_♡

✧Step-by-step explanation✧:

1.) The 17 mile distance from Darcy's house to her destination represents the hypotenuse of a right triangle, and the distance that Darcy traveled east represents one leg. The distance that Darcy traveled due north represents the unknown leg.

2.) The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the lengths of the right triangle, and c is the length of the hypotenuse.

3.) Let n = the distance Darcy traveled due north, which is the unknown leg of the right triangle.

15^2 + n^2 = 17^2  ✿The problem✿

225 + n^2 = 289   ✿Square 15 and 17✿

n^2 = 64   ✿Subtract 225 from both sides✿

n = 8   ✿Take the square root of both sides✿

4.) So the distance Darcy traveled due north was 8 miles.

Hope this helps! mwah

Sincerely,

loxy ★~(◡﹏◕✿) <3

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Step-by-step explanation:

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