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February 7, 2016

# Homework Help: Pre-Algebra

Posted by mysterychicken on Saturday, June 6, 2009 at 10:27am.

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 - bobpursley, Saturday, June 6, 2009 at 10:51am

Do you know the Pythagorean theorem?

• Pre-Algebra - mysterychicken, Saturday, June 6, 2009 at 11:04am

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 - bobpursley, Saturday, June 6, 2009 at 11:08am

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.