Using the Pythagorean Theorem

Consider these three squares with known area.

07

Can a right triangle be formed using these squares?

Yes, the sum of the two smaller squares does not

equal the largest square.

O Yes, the sum of the two smaller squares equals the

largest square.

No, the sum of the two smaller squares does not

equal the largest square.

No, the sum of the two smaller squares equals the

largest square.

144

169

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.

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