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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. The Law of Sines and Law of Cosines

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Exercise 73 Page 679

Use the Distance Formula.

sqrt(72) or approximately 8.5 units

Practice makes perfect

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are W(2,0) and X(8,6).

WX = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)

SubstitutePoints

Substitute ( 2,0) & ( 8,6)

WX=sqrt(( 8- 2)^2+( 6- 0)^2)

Subtract terms

WX=sqrt(6^2+6^2)

Calculate power

WX=sqrt(36+36)

Add terms

WX=sqrt(72)

Use a calculator

WX=8.485281...

Round to 1 decimal place(s)

WX≈8.5

The distance between W and X is sqrt(72) or approximately 8.5 units.

Subchapter links

Exercises p.674-679