Respuesta :

We are given right angled triangles and right angled triangles have certain peculiarities.

A special relationship exists between the sides and the angles.

There are 3 legs, two legs and the hypothenuse (longest side) related by the relationship below:

[tex]h^2=a^2+o^2[/tex]

Where:

h = hypothenuse

a = adjacent

o = opposite

1. We are given the 2 legs and are required to find the hypothenuse

[tex]\begin{gathered} h=\sqrt[]{a^2+o^2} \\ h=\sqrt[]{14^2+10^2} \\ h=x=\sqrt[]{296}=2\sqrt[]{74} \end{gathered}[/tex]

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