• Pythagorean Theorem and Special Right Triangles
    Choice A
    19. Loto begins at his back door and walks 8 yards east, 6 yards north, 12 yards east, and 5 yards north to the barn door. About how many yards less would he walk if he could walk directly from the back door to the barn door?
    Straight  line={(8+12)2+(165)2}Straight \; line=\sqrt\{(8+12)^2 +(16-5)^2\}
    ={(20)2+(11)2}=\sqrt\{(20)^2+(11)^2\}
    =23(yard)=23 \quad(yard)
    Long  way=(8+6+12+5)=31Long \; way=(8+6+12+5)=31
    Long  wayStraight  line=3123=8(yards)\therefore Long \; way-Straight \; line=31-23=8 \quad(yards)

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