Question

Which expression is equivalent to the area of square A, in square centimeters?

3 squares are positioned to form a triangle. The small square is labeled 24 centimeters, medium square is 45 centimeters, and large square is not labeled.
One-half (24) (45)
24 (45)
(24 + 45) squared
24 squared + 45 squared

Answer 1

24 squared + 45 squared

By the Pythagorean theorem (squares built on the sides of a right triangle), the large square's area = 24^2 + 45^2 = 576 + 2025 = 2601 cm^2.