Respuesta :

The Pythagorean Theorem can be applied in any right triangle if we are given two of the three lengths of its sides.

A right triangle forms a longer side called the hypotenuse (c) and two shorter sides called the legs (a and b).

The Pythagorean Theorem states:

[tex]a^2+b^2=c^2[/tex]

Solving for a:

[tex]a=\sqrt{c^2-b^2}[/tex]

Substituting c = 25, b = 24:

[tex]\begin{gathered} a=\sqrt{25^2-24^2} \\ \\ a=\sqrt{625-576}=\sqrt{49}=7 \end{gathered}[/tex]

a = 7

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