Pre-Algebra

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I'm stuck on these two problems; can someone show me how to solve them step-by-step? Thanks

1.A baseball diamond is a square 90 ft on each side. How far is it diagonally from home plate to second base?

2.An equilateral triangle has sides 10 units long. Find (a)the height and (b) the area.

-MC

  • Pre-Algebra -

    Do you know the Pythagorean theorem?

  • Pre-Algebra -

    Yes; this is what my book says:
    If the hypotenuse of a right triangle has length c, and the legs have lengths a and b, then c^2= a^2 + b^2

    -MC

  • Pre-Algebra -

    Ok, each of these cases involve a right triangle (second base;home;first base). You are looking for the hypotenuse c.

    In the second, the vertical, half the base, and the side form the right triangle, you are looking for the vertical a.

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