15) The given triangle is a right angle triangle. We would find the missing side, a by applying the pythagorean theorem which is expressed as
Hypotenuse^2 = shorter leg^2 + longer leg^2
From the diagram,
hypotenuse = 15
longer leg = a
shorter leg = 10
By applying pythagorean theorem, we have
[tex]\begin{gathered} 15^2=10^2+a^2^{} \\ 225=100+a^2 \\ a^2\text{ = 225 - 100 = 125} \\ a\text{ = }\sqrt[]{125} \\ a\text{ = 11.18} \end{gathered}[/tex]