In a rectangle, the length of the diagonal is 2.5 m and the length of the shorter side is 0.7 m.

In a rectangle, the length of the diagonal is 2.5 m and the length of the shorter side is 0.7 m. Find the length of the longer side of the rectangle.

Let x denote the length greater than the side of the given quadrangle with four right angles.

In the initial data for this task, it is reported that the length of the diagonal of this rectangular quadrangle is two and a half meters, and the length of the smaller side is seven tenths of a meter, therefore, using the Pythagorean theorem, we obtain the following equation:

x ^ 2 + 0.7 ^ 2 = 2.5 ^ 2.

We solve this equation:

x ^ 2 + 0.49 = 6.25;

x ^ 2 = 6.25 – 0.49;

x ^ 2 = 5.76;

x ^ 2 = 2.4 ^ 2;

x = 2.4 m.

Answer: 2.4 m.