The Pythagorean's Theorem
In a right triangle, the two legs and the hypotenuse are related with the formula:
[tex]c^2=a^2+b^2[/tex]
Where c is the hypotenuse and a and b are the legs.
We are given the length of one leg, say a = 9, and the length of the hypotenuse c = 14. We need to solve the equation for b as follows:
[tex]b=\sqrt[]{c^2-a^2}[/tex]
Substituting:
[tex]\begin{gathered} b=\sqrt[]{14^2-9^2} \\ b=\sqrt[]{196-81} \\ b=\sqrt[]{115} \end{gathered}[/tex]
Approximating to three decimals places:
b = 10.724
