Respuesta :

nap14hockey

Once again, In order to find the length of the hypotenuse, we need to use Pythagorean's Theorm.

This theorm states that a^2+b^2=c^2

a and b are sides, and c is the hypotenuse

[tex]12^2 + b^2 = 15^2\\144+b^2 = 225\\b^2 = 81\\\sqrt{b^2} = \sqrt{81}\\b = 9[/tex]


The other side is 9

carlosego

Answer: 9 ft


Step-by-step explanation:

 1. To solve this exercise you must apply the Pythagorean Theorem, which is:

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

Where [tex]a[/tex] is the hypotenuse, and [tex]b[/tex] and [tex]c[/tex] are the other sides of the triangle.

2. Then, when you  solve for one of the sides and substitute the values given in the problem into the formula shown above, you obtain that the length of  the side of the rigth triangle is:

 [tex]b=\sqrt{(15ft)^{2}-(12ft)^{2}}[/tex]

 [tex]b=9ft[/tex]



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