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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

5. Parts of Similar Triangles

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Exercise 51 Page 590

Use the Distance Formula.

sqrt(340) ≈ 18.4

Practice makes perfect

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are R(- 6,10) and S(8,- 2).

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

SubstitutePoints

Substitute ( - 6,10) & ( 8,- 2)

RS=sqrt(( 8-( - 6))^2+( - 2- 10)^2)

a-(- b)=a+b

RS=sqrt((8+6)^2+(- 2-10)^2)

Add and subtract terms

RS=sqrt(14^2+(- 12)^2)

Calculate power

RS=sqrt(196+144)

Add terms

RS=sqrt(340)

Calculate root

RS ≈ 18.4

The distance between R and S is approximately 18.4.

Subchapter links

Exercises p.586-590