In a right angled triangle we can use Pythagoras theorem to determine third side in case two sides are given.
The formula of Pythagoras theorem is given by:
[tex] x^{2} +y^{2} =z^{2} [/tex]
Where x , y and z are sides of triangle , z is hypotenuse.
Now we use this formula to find hypotenuse.
Plugging other two sides which are 5 in. and 12 in.
[tex] 5^{2} +12^{2} =z^{2} [/tex]
[tex] 25 +144 =z^{2} [/tex]
[tex] 169 =z^{2} [/tex]
Taking square root on both sides
square root of 169 is 13
so we have z=13
Hypotenuse is 13 inches.
