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) Responses 203–√ 20 square root of 3 402–√ 40 square root of 2 20 20 202–√
To find the side length of each piece, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the hypotenuse is 40 inches and the other two sides are equal in length, so we can call the side length of each piece x inches.
Using the Pythagorean theorem, we can set up the equation:
x^2 + x^2 = 40^2
2x^2 = 1600
Dividing both sides by 2:
x^2 = 800
Taking the square root of both sides:
x = √800
Simplifying the square root:
x = √(16 * 50)
x = √16 * √50
x = 4 * √50
Therefore, the side length of each piece is 4√50 inches.