Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 34 inches long. What is the side length of each piece?

17√2 inches.

Step-by-step explanation:

Because the cut-out is a square the triangles are  made up of  angles

45-45-90 with each leg equal in length.

So the ratio of leg to hypotenuse  is 1:√2.

Therefore the side length = 34 / √2

= 34√2. / 2

= 17√2 inches.

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.