Respuesta :

nktselepov

By the Pythagorean theorem

[tex]a^2=b^2+c^2[/tex]⇒

[tex]40^2=24^2+32^2\\1600=1600[/tex]

So a triangle with these sides exists

In a right triangle, the largest side is a hypotenuse, so the side with length 40 is a hypotenuse.

P.S. Hello from Russia and sorry for my bad english :^)

Hrishii

Step-by-step explanation:

If the sum of the squares of 24 and 32 are equal to square of 40, then it is a hypotenuse.

Let us check.

[tex] {24}^{2} + {32}^{2} = 576 + 1024 = 1600...(1) \\ {40}^{2} = 1600...(2) \\ from \: equations \: (1) \: and \: (2) \\ {24}^{2} + {32}^{2} = {40}^{2} \\ \therefore \: 24 \: and \: 32 \: are \: lengths \: of \: legs \\ and \: 40 \: is \: the \: length \: of \: hypotenuse.[/tex]

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