SOLUTION: What is am motetcycle travels 21 miles north from home it the turned derectly turned west and travels 28 miles how far is the miter cycle away from home

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Question 1083138: What is am motetcycle travels 21 miles north from home it the turned derectly turned
west and travels 28 miles how far is the miter cycle away from home
Found 2 solutions by Boreal, josmiceli:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Those are two legs of a right triangle, if you draw this.
21^2+28^2=x^2, where x is the straight-line distance to home.
441+784=1225
sqrt(1225)=35 miles, which is the straight line distance.
Notice that 21-28-35 is 7 times a 3-4-5 right triangle.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
A well-known right triangle is the 3-4-5 triangle
( because +3%5E2+%2B+4%5E2+=+5%5E2+ )
This is also a 3-4-5 triangle if the sides are in
that same proportion.
Let +c+ = distance from home
+%281%2F7%29%2A21+=+3+
+%281%2F7%29%2A28+=+4+
+%281%2F7%29%2Ac+=+5+
+c+=+35+
The motorcycle is 35 miles from home