Respuesta :

Given:

A right angle triangle is given as below

Find:

we have to find unknown side i.e. AB.

Explanation:

we know By Pythagorean theorem,

[tex]\begin{gathered} (AB)^2=(BC)^2+(AC)^2 \\ c^2=10^2+10^2 \\ c^2=10^2(1+1) \\ c^2=10^2(2) \\ c=10\sqrt{2} \\ c=14.14 \end{gathered}[/tex]

Therefore, the side AB = c = 14.14 ( by rounded to nearest hundredth)

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