To find the side length of each piece, we need to find the length of one of the legs of the triangle. We can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b):
a^2 + b^2 = c^2
In this case, the hypotenuse is 40 inches long, so c^2 = 40^2 = 1600.
To find the length of one of the legs (a or b), we can solve for a or b in the equation:
a^2 + b^2 = 1600
Since the square root of 1600 is 40, both a and b are equal to 40.
Therefore, the side length of each piece is 40 inches.
Answer: 40
Blanket Squares are cut on the diagonal to form triangular blanket pieces. The hypotenuse of the resulting triangles is 40 inches long. What is the side length of each piece?(1 point)
Answer Choices:
40sqr2
20
20sqr2
20sqr3
1 answer