SOLUTION: Use the Pythagorean Theorem to find the distance to the nearest tenth, between F(9, 5) and G(-2, 2). (Hint: Place F and G on the coordinate plane. Then sketch a triangle with FG as

Algebra ->  Pythagorean-theorem -> SOLUTION: Use the Pythagorean Theorem to find the distance to the nearest tenth, between F(9, 5) and G(-2, 2). (Hint: Place F and G on the coordinate plane. Then sketch a triangle with FG as      Log On


   

Question 699191: Use the Pythagorean Theorem to find the distance to the nearest tenth, between F(9, 5) and G(-2, 2). (Hint: Place F and G on the coordinate plane. Then sketch a triangle with FG as the hypotenuse.)
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the distance formula.



where and are the coordinates of the given points.

John

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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If you did a sketch, you can see that the side
parallel to the x-axis is +9+-%28-2%29+=+11+ units long
The side parallel to the y-axis is +5+-+2+=+3+ units long.
Applying the theorem:
+d+=+sqrt%28+11%5E2+%2B+3%5E2+%29+
+d+=+sqrt%28+121+%2B+9+%29+
+d+=+sqrt%28+130+%29+
+d+=+5.5+ ( actually +5.4772+ )