1. Vertices of the rectangle – A, B, C, D. S – area of the rectangle. Diagonal AC = 13 units. CD = 5 units.
2. Calculate the side AD of the rectangle using the Pythagorean theorem:
AD = √AC² – СD² = √13² – 5² = √169 – 25 = √144 = 12 units.
3.Calculate the area of a rectangle equal to the product of the lengths of its sides AD and CD:
S = AD x CD = 12 x 5 = 60 units.
Answer: S = 60 units.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.