Respuesta :

Answer:

The length of the diagonal line is 26 cm

Step-by-step explanation:

In this question, we are trying to find length of the diagonal line in the rectangle.

To find this, we would use the Pythagorean theorem:

a² + b² + c² = d²

Plug in the variables from the image and solve:

24² + 8² + 6² = d²

Solve for d:

24² + 8² + 6² = d²

576 + 64 + 36 = d²

640 + 36 = d²

676 = d²

To cancel the exponent, we would square root both sides.

√676 = √d^2

26 = d

26 cm would be your answer.