What is the length of a diagonal of a rectangle whose sides are 5 cm and 12 cm long?

Solution:

Consider ABCD as a rectangle

In the rectangle ABCD, the rectangle is divided into two triangles ABC and ADC by the diagonal AC

In the triangle ABC

AB = 12 cm

BC = 5 cm

Using the Pythagorean theorem

AC² = AB² + BC²

Substituting the values

AC² = 12² + 5²

AC² = 144 + 25 = 169

AC = √169 = 13 cm

Therefore, the length of the diagonal is 13 cm.

What is the length of a diagonal of a rectangle whose sides are 5 cm and 12 cm long?

Summary:

The length of a diagonal of a rectangle whose sides are 5 cm and 12 cm long is 13 cm.