Question

Using the Pythagorean Theorem

Answer 1

Answer:

Yes, the sum of the two smaller squares equals the  largest square

Explanation:

See the picture attached. There are 3 squares with areas: a², b² and c². The  Pythagorean Theorem states:

c² = a² + b²

(note that c² is the greatest value)

The question is not clear, but assuming that the three areas are 25, 144 and 169, we have to replace them in the formula:

169 = 144 + 25

And the equation is satisfied. Therefore, a right triangle be formed using these squares. The sides of the triangle will be:

c = √169 = 13

b = √144 = 12

a = √25 = 5

In general terms, you need to check if the sum of the two smaller squares equals the  largest square.

Answer 2

Yes, the sum of the two smaller squares equals the  largest squareAnswer:

Explanation: