• 2021 April(Z04) Math Question 19

    Angles

    - Collinear Points & Triangles

    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?

    $$ Straight \ line=\sqrt{(8+12)^2 +(16-5)^2} $$

    $$ =\sqrt{(20)^2+(11)^2} $$

    $$ =23 \quad(yard) $$

    $$ Long \ way=(8+6+12+5)=31 $$

    $$ \therefore Long \ way-Straight \ line=31-23=8 \quad(yards) $$

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