The 14 inch wooden bracket form a right triangle with each end of the bracket:
The wooden bracket is the hypotenuse (h) of the right triangle. Use the pythagorean theorem to find the lenght of sides x (both sides have the same length)
[tex]\begin{gathered} h^2=(leg_1)^2+(leg_2)^2 \\ \\ 14^2=x^2+x^2 \end{gathered}[/tex]Use the equation above to find x:
[tex]\begin{gathered} 196=2x^2 \\ \frac{196}{2}=x^2 \\ 98=x^2 \\ \sqrt[]{98}=x \\ \\ x\approx9.9 \end{gathered}[/tex]Then, the bracket needs to be 9.9 inches to has the same distanced from each end.
