Find the length of one side of a square with 8 meters diagonal?

Answer 1

Have you heard of the Pythagorean Theorem? It is used to find the lengths of unknown sides of a right triangle. It is as follows:

a^2 + b^2 = c^2

where c is the side opposite the right angle. In this case your diagonal is c. The variables a and b represent the other two sides of the right triangle. That means a and b represent the sides of your square. Since all the sides of a square are equal it follows that a and b are equal. Follow me:

a = b (since all sides of a square are equal)

a^2 + b^2 = c^2
a^2 + a^2 = c^2 (since a=b substitute a for b)
2(a^2) = c^2 (combine the two a^2 terms)
2(a^2) = 8^2 (substitute in known value)
2(a^2) = 64
a^2 = 32 (divide both sides by 2)
a = sqrt(32) (take the square root of both sides)
a = sqrt(16*2) (simplify the radical)
a = 4*sqrt(2) (final simplification)

Depending on what you need this answer for you can simply say "square root of 32" or the simplified answer is "4 times the square root of 2".

Hope this helps.

Answer 2

8 divided by sin 45 degrees....

Answer 3

I think if you're having so much trouble with simple math you should get help from your teacher or something.

Answer 4

This is the same as your ladder question