Fundamental Concept
Assuming that the triangular flag is a right triangle, we can refer to the pythagorean theorem which states:
[tex]a^{2} +b{2} = c^{2}[/tex]
where a, b, and c are the lengths of each side of the triangle.
Derivative Equation
From the pythagorean theorem, we can derive the formula to calculate for the length of the third side as follows:
[tex]c=\sqrt{a^{2} +b^{2} }[/tex]
Application
We can now solve for the length of the third side as follows:
[tex]c=\sqrt{8^{2} + 2^{2} }[/tex]
[tex]c = \sqrt{64 + 4}[/tex]
[tex]c = \sqrt{64}[/tex]
[tex]\sqrt{64}[/tex] can be further simplified as follows
[tex]c = \sqrt{4 x 17}[/tex]
[tex]c = 2\sqrt{17[/tex]
Considering the above, the length of the third side is [tex]2\sqrt{17}[/tex] units or 8.25 units which is also the length of ribbon required for the third side.
