Question

"Cool crafts portfolio

I measured the width of the bathroom which is approximately 4"" 10"""".
Why is your measurement of the diagonal's length different than the length
that you found using the Pythagorean Theorem?
Which special version of the Pythagorean Theorem can you use to find the
length of any square's diagonal, d, using only the length of its side, s?
Why do you have to use estimation to find the number of triangles you need
for the string?
A) 45 degrees
B) 90 degrees
C) 60 degrees
D) 30 degrees

Answer 1

To find the length of a diagonal of a square, use the Pythagorean Theorem. The diagonal's length is different from the length found using the Pythagorean Theorem because it is a straight line. Estimation is used to determine the number of triangles needed for the string.

Step-by-step explanation:

To find the length of the diagonal of a square, you can use a special version of the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. So, if the side length of the square is 's', the length of the diagonal 'd' can be found using the equation d = √(s² + s²) = √2s² = s√2.

The measure of a diagonal's length will be different from the length found using the Pythagorean Theorem because the diagonal is a straight line connecting two opposite corners of the square, while the length found using the Pythagorean Theorem is the distance along the sides of the square.

Estimation is used to find the number of triangles needed for the string because the triangles need to fit together and cover the entire length of the string. Estimating the number of triangles helps determine how many triangles are needed to cover the desired length accurately.