10
Explanation
Step 1
to find the missing side we can use the Pythagorean theorem
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“,hence
[tex]a^2+b^2=c^2[/tex]
then, Let
side1=24
side2, Unknown=x
hypotenuse=26
Now, replace in the formula
[tex]\begin{gathered} a^2+b^2=c^2 \\ 24^2+x^2=26^2 \\ 576+x^2=676 \\ \text{subtract 576 in both sides} \\ 576+x^2-576=676-576 \\ x^2=100 \\ \text{square root in both sides} \\ \sqrt{x^2}=\sqrt{100} \\ x=10 \end{gathered}[/tex]
therefore, the missing side is 10.
I hope this helps you
