Question

Is this correct?

Quilt squares are cut on the diagonal to form triangular quit pieces. The hypotenuse of the resulting triangles is 10 inches long. What is the side length of each piece?
=10sqrt{2} ?

Answer 1

If you cut a square along its diagonal , you form two triangles, each 45-45-90 triangles.

Answer 2

Have you learned about 45-45-90 triangles?

Answer 3

This shows you the formulas
http://www.regentsprep.org/Regents/math/algtrig/ATT2/Ltri45.htm

the long side (hypotenuse) is sqr(2) * leg

Answer 4

*edit and yes

Answer 5

They tell you
The hypotenuse of the resulting triangles is 10 inches long.
and ask
What is the side?

the formula says
hypotenuse = sqr(2) * side

replace hypotenuse with 10
10 = sqr(2) * side
divide both sides by sqr(2) to get
10/sqr(2) = side

people usually don't like dividing by square roots (a habit from the days before calculators)
so multiply top and bottom by sqr(2) to get what ?

Answer 6

=5sqr(2)
Thanks