Question
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?
(1 point)
Responses
34square root of 2 inches
34 Image with alt text: square root of 2 inches
17square root of 3 inches
17 Image with alt text: square root of 3 inches
17square root of 2 inches
17 Image with alt text: square root of 2 inches
13 inches
(1 point)
Responses
34square root of 2 inches
34 Image with alt text: square root of 2 inches
17square root of 3 inches
17 Image with alt text: square root of 3 inches
17square root of 2 inches
17 Image with alt text: square root of 2 inches
13 inches
Answers
GPT 3.5
To find the side length of each quilt piece, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
In this case, the hypotenuse of the triangle (c) is given as 34 inches, and we want to find the length of the other two sides (a and b).
Let's assume that the side length of each piece is "x" inches.
Using the Pythagorean theorem, we have:
x^2 + x^2 = 34^2
2x^2 = 1156
Dividing both sides by 2, we get:
x^2 = 578
Taking the square root of both sides, we find:
x = √578 ≈ 24.01 inches
Therefore, the side length of each quilt piece is approximately 24.01 inches.
In this case, the hypotenuse of the triangle (c) is given as 34 inches, and we want to find the length of the other two sides (a and b).
Let's assume that the side length of each piece is "x" inches.
Using the Pythagorean theorem, we have:
x^2 + x^2 = 34^2
2x^2 = 1156
Dividing both sides by 2, we get:
x^2 = 578
Taking the square root of both sides, we find:
x = √578 ≈ 24.01 inches
Therefore, the side length of each quilt piece is approximately 24.01 inches.
Strawberry Cow
please pick one of the answers from above.