Answer
c = 10
Work Step by Step
We will use given data about triangle ABC & Pythagoras Theorem to solve for 'c'-
We know that -
$c^{2} =a^{2} + b^{2}$ ( Pythagoras Theorem)
Therefore -
$c^{2} = (6)^{2} + (8)^{2}$
$c^{2} = 36 + 64$
$c^{2} = 100$
therefore $ c = \sqrt (100)$
c = 10