Respuesta :

By using the well-known Pythagorian theorem we can write this equation:
7^2=13+b^2 -> b^2=49-13=36
The square root of 36 is obviously 6.
So, the other leg has a length of 6 inches :)
kudzordzifrancis

Answer:

The length of the other  leg is [tex]6in.[/tex]

Step-by-step explanation:

It was given that, the hypotenuse of the triangle is [tex]7in.[/tex] and one of the legs is [tex]\sqrt{13}in.[/tex].


We want to find the length of the other leg.


Let the length of the other leg be [tex]l\:in.[/tex].


We now apply the Pythagoras Theorem to obtain;


[tex]l^2+(\sqrt{13}) ^{2} =7^2[/tex]


[tex]\Rightarrow l^2+13 =49[/tex]


[tex]\Rightarrow l^2=49-13[/tex]


[tex]\Rightarrow l^2=36[/tex]


We take the positive square root of both sides to get;


[tex]\Rightarrow l=\sqrt{36}[/tex]


[tex]\Rightarrow l=6\:in.[/tex]

See diagram in attachment.



Ver imagen kudzordzifrancis

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