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Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
8. Perimeter, Circumference, and Area
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Exercise 63 Page 67

Use the Distance Formula.

≈ 27.9 units

Practice makes perfect
To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are C(12,-8) and D(5,19).
CD = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)
SubstitutePoints

Substitute ( 5,19) & ( 12,-8)

CD = sqrt(( 5- 12)^2 + ( 19-( -8))^2)
SubNeg

a-(- b)=a+b

CD=sqrt((5-12)^2+(19+8)^2)
AddSubTerms

Add and subtract terms

CD=sqrt((-7)^2+(27)^2)
CalcPow

Calculate power

CD=sqrt(49+729)
AddTerms

Add terms

CD=sqrt(778)
UseCalc

Use a calculator

CD=27.892651...
RoundDec

Round to 1 decimal place(s)

CD≈27.9
The distance between C and D is approximately 27.9 units.
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arrow_right Lesson Check p.64
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arrow_right Practice and Problem-Solving Exercises p.64-67
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arrow_right Standardized Test Prep p.67
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arrow_right Mixed Review p.67
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