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McGraw Hill Integrated II, 2012 View details

4. Proving Angle Relationships

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Exercise 39 Page 307

Use the Distance Formula.

Practice makes perfect

Let's begin by making a diagram that illustrates the given situation.

To find the distance between Isabel's house and the mall we need to find the distance between the red points shown above. To do so we will use the Distance Formula. d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2) Substituting (x_1,y_1)=(3,0) and (x_2,y_2)=(0,4) into the formula above, we will find the distance d.

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

SubstitutePoints

Substitute ( 3,0) & ( 0,4)

d = sqrt(( 3- 0)^2 + ( 0- 4)^2)

SubTerms

Subtract terms

d=sqrt(3^2+(-4)^2)

CalcPow

Calculate power

d=sqrt(9+16)

AddTerms

Add terms