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

Section 11-3 Distance Formula SPI 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.

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

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  1. 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

  2. Relate Distance Formula to the Pythagorean Theorem Pythagorean Theorem Distance Formula c2 = a2 + b2

  3. 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

  4. Try It! Using the Distance Formula Find the distance between R(–2, –6) and S(6, –2) to the nearest tenth. Use the distance formula Substitute Simplify Simplify Simplify

  5. 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.

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