Respuesta :

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]

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