Find the diagonal of a rectangle if its sides are 16 and 30 dm

A rectangle is a quadrangle in which opposite sides are pairwise parallel and equal.

The diagonal of a rectangle divides it into two equal right-angled triangles:

ΔАВС = ΔАСD.

Consider one of them ΔABC.

to calculate the AC side, 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;

AC ^ 2 = 16 ^ 2 + 30 ^ 2 = 256 + 900 = 1156;

AC = √1156 = 34 cm.

Answer: The length of the diagonal of the rectangle is 34 cm.