Question

pythagorean theorem converse hw1.2b #9. which of the following could be the areas of the three squares below? a 12 ft², 16 ft², and 28 ft² b 8 ft², 16 ft² and 24 ft² c both a and b d neither a nor b

Explanation:

Step1: Recall Pythagorean theorem for squares

If the squares are on the sides of a right - triangle, the sum of the areas of the two smaller squares equals the area of the largest square.

Step2: Check option A

For option A, \(12 + 16=28\).

Step3: Check option B

For option B, \(8 + 16 = 24\).

Answer:

C. Both A and B