Respuesta :

Answer:

∴ 2nd equation can be used to determine the length of other leg.

  Which is known as [tex]a=\sqrt{13^{2}-12^{2}}[/tex]

Step-by-step explanation:

Given,

A Right Triangle has hypotenuse of [tex]13[/tex] units and one leg has [tex]12[/tex] units.

We know Pythagoras Formula for Right Triangle;

[tex]Hypotenuse^{2} =Perpendicular^{2} +Base^{2}[/tex]

Here hypotenuse and one leg values in above equation and take [tex]Base=a[/tex];

[tex]13^{2} =12^{2} +a^{2}[/tex]

[tex]a^{2} =13^{2} -12^{2}[/tex]

[tex]a=\sqrt{13^{2}-12^{2}}[/tex]

So 2nd equation can be used to determine the length of other leg.

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