Section 11-3 Distance Formula SPI 33A: calculate the distance between two points given the Pythagorean Theorem and the Distance Formula

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Section 11-3 Distance
FormulaSPI 33A calculate the distance between
two points given the Pythagorean
Theorem and the Distance Formula

• Objectives
• Find the distance between 2 points
• Connect the distance formula with the
  Pythagorean Thm

Recall the Pythagorean Theorem
c2 a2 b2

• a and b are the legs
• c is the hypotenuse (the longest length)
• only applies to right triangles

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Relate Distance Formula to the Pythagorean Theorem
Pythagorean Theorem
Distance Formula
c2 a2 b2
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Use the Distance Formula to find the distance
between points F and G, to the nearest tenth.
Write the distance formula.
Substitute in known values.
Simplify the Equation
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Using the Distance Formula
Try It!
Find the distance between R(2, 6) and S(6, 2)
to the nearest tenth.
Use the distance formula
Substitute
Simplify
Simplify
Simplify
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Real-world and the Distance Formula
You are building a fence to enclose an area as
shown in the diagram. Approximately, how many
feet of fencing will be required?
EF
FG
GH
HE
The approximate amount of fencing needed
(perimeter) is 5.4 5.1 5
7.1 22.6 feet.