Respuesta :

We should find three values that soddisfy the Pithagorean triple.

a^2+b^2 = c^2 (where a and b are the legs and c the hypothenuse, longest side).

For example, 32-24-40.

32^2+24^2 = 40^2

1024+576 = 1600

1600 = 1600

So these numbers are OK to form a right triangle.

If we try 4-1-8

4^2+1^2 = 8^2

16 + 1 = 64

17 = 64

You can't do a right triangke with these!

So select 32-24-40
In a triangle the sum of two sides is always greater than the third side.

Of all these lengths, you can construct only one triangle, with sides 24 cm, 32 cm and 40 cm. This will be a right triangle, because 24² + 32² = 40²