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Use the distance formula to find the distance, to the nearest tenth, between F(10,5) and G(-1,2)

1 Answer

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Explanation:

the distance formula

d = sqrt((x2 - x1)² + (y2 - y1)²)

is simply based on the Pythagoras formula

c² = a² + b²

or

c = sqrt(a² + b²)

because the distance between 2 points is the Hypotenuse of a right-angled triangle with the legs being the x coordinate difference and the y coordinate difference of the 2 points.

so, in our case here

d = sqrt((10 - -1)² + (5 - 2)²) = sqrt(11² + 3²) = sqrt(121 + 9) =

= sqrt(130) = 11.40175425... ≈ 11.4

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