Respuesta :

We first determine the length of the side of the triangle on the left, that is:

[tex]s=\sqrt[]{20^2-12^2}\Rightarrow s=16[/tex]

Now, we can see that 24 = s + a, where s is the side we just determined and a is the side of the smaller triangle in the right, now we replace and solve for a:

[tex]16+a=24\Rightarrow a=8[/tex]

Now, we determine the missing side of the whole triangle:

[tex]s_1=\sqrt[]{12^2+8^2}\Rightarrow s_1=4\sqrt[]{13}[/tex]

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