Since the hypotenuse of the triangle is the longest side and is equal to 34 inches, we can use the Pythagorean theorem to find the lengths of the other two sides:
a^2 + b^2 = c^2
where a and b are the two legs of the right triangle, and c is the hypotenuse. In this case, we have:
a^2 + b^2 = 34^2
a^2 + b^2 = 1156
We also know that the two legs of the triangle are equal (since the square was cut on the diagonal, resulting in two congruent triangles), so we can substitute a = b into the equation above:
2a^2 = 1156
a^2 = 578
a = sqrt(578)
The side length of each piece is equal to a, so the answer is:
A. 34sqrt(2) inches
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?
A. 34square root of 2 inches
B. 17square root of 3 inches
C. 17square root of 2 inches
D. 13 inches
1 answer