Find the diagonals of the rectangle if its length and width are 6cm and 8cm.

The diagonals of the rectangle are equal. They can be found from the right-angled triangle, which they form with the sides of the rectangle, being the hypotenuse in them. To do this, you must use the Pythagorean theorem, according to which the hypotenuse is equal to:

c = √ (a² + b²), where a and b are the legs of the triangle.

In this case, the legs are the sides of the rectangle. Hence,

c = √ (6² + 8²) = √ (36 + 64) = √100 = 10 cm.

Answer: The diagonals of the rectangle are 10 centimeters.