The sides of the rectangle are 8 dm and 6 dm. Find its diagonal.

It is known from the condition that the sides of the rectangle are equal to 8 dm and 6 dm. In order to find the diagonal of a rectangle, consider a right-angled triangle formed by the sides of the rectangle and the diagonal.

The sides of the rectangle are the legs of the right triangle, and the diagonal of the rectangle is the hypotenuse.

To find the hypotenuse, we will use the Pythagorean theorem.

The sum of the squares of the legs is equal to the square of the hypotenuse.

a ^ 2 + b ^ 2 = c ^ 2;

8 ^ 2 + 6 ^ 2 = c ^ 2;

64 + 36 = c ^ 2;

c ^ 2 = 100;

c = 10 dm. the diagonal of the rectangle.