Given: The figure below
To Determine: The value of x in the figure above
Applying the Pythagoras theorem, the square of the hypothenuse is equal to the sum of the squares of the other sides. The hypothenuse is the side facing the right angle or the longest side
From the given triangle, the hypothenuse is 10.
Let us apply the Pythagoras theorem
[tex]10^2=x^2+6^2[/tex][tex]\begin{gathered} 100=x^2+36 \\ 100-36=x^2 \\ 64=x^2 \\ x^2=64 \\ x=\sqrt[]{64} \\ x=8 \end{gathered}[/tex]
Hence:
x = 8
