Question

Danny takes a rectangular piece of fabric and cuts from one corner to the opposite corner. If

the piece of fabric is 9 centimeters long and 12 centimeters wide, how long is the diagonal
cut that Danny made?

Answer 1

Answer: To find the length of the diagonal cut, we can use the Pythagorean theorem.

The diagonal cut is the hypotenuse of a right triangle, with legs of length 9 and 12.

The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs. So, the length of the diagonal cut is the square root of (9^2 + 12^2)

So, the length of the diagonal cut is √(9^2 + 12^2) = √(81 + 144) = √225 = 15cm

Therefore, the diagonal cut that Danny made is 15 centimeters long.

Explanation: