Consider these three squares, 25,144 and 169 . can a right triangle be formed using these squares

Yes, if we take the square roots of 25, 144 and 169 (5, 12, 13)

Not by using those measures as is (sides of a triangle with 25, 144 and 169).

Explanation:

A right triangle is a triangle with an angle of 90 degrees, and the side facing that angle of 90 degrees is called an hypotenuse.

The hypotenuse measurement squared is equal to the squared measurements of the other two sides:

c² = a² + b²

And those squares do verify the equation:

169 = 144 + 25

So, that's a rectangle (right) triangle, with sides measuring 5, 12 and 13.