A diagonal is drawn in the rectangle. Find the length of the diagonal if the sides of the rectangle are 8 cm and 15 cm

A rectangle is a quadrangle in which all angles are right and equal to each other.

In order to find the length of the diagonal AC, consider the triangle ΔABC. This triangle is rectangular. The AC diagonal is the hypotenuse of this triangle. To calculate, we use the Pythagorean theorem, according to which the square of the hypotenuse is equal to the sum of the squares of the legs:

AC ^ 2 = AB ^ 2 + BC ^ 2;

AB = 8 cm;

BC = 15 cm;

AC ^ 2 = 8 ^ 2 + 15 ^ 2 = 64 + 225 = 289;

AC = √289 = 17 cm.

Answer: The length of the AC diagonal is 17 cm.