We are given a right angled triangle with the hypotenuse and one other leg given.
To calculate the missing side in any right angled triangle we shall apply the Pythagoras theore, which is;
[tex]c^2=a^2+b^2[/tex]
The hypotenuse is represented by c while a and b represents the two other side lengths.
This means for the given triangle we would have the following;
[tex]65^2=60^2+b^2[/tex]
We expand these and we now have;
[tex]4225=3600+b^2[/tex]
Subtract 3600 from both sides and we now have;
[tex]\begin{gathered} 4225-3600=3600-3600+b^2 \\ 625=b^2 \end{gathered}[/tex]
We now take the square root of both sides of the equation;
[tex]\begin{gathered} \sqrt[]{625}=\sqrt[]{b^2} \\ 25=b \end{gathered}[/tex]
ANSWER:
The missing b = 25
