In a right-angled triangle ABCD, side AB-7cm, diagonal AC-25. Find the area of the rectangle

An error was made in the problem statement. In the AВСD rectangle, not in the right triangle.

1. We calculate the length of the side BC, which is the leg of the right-angled triangle ABC, using the Pythagorean theorem:

BC = √AC² – AB² = √25² – 7² = √625 – 49 = √576 = 24 centimeters.

2. Calculate the area (S) of a given rectangle:

S = AB x BC = 7 x 24 = 168 centimeters².

Answer: the area of a given rectangle is 168 centimeters²