Question

the length of the side of a right angle triangle of 6 cm and 8 cm find the length of its hypotenuse

Answer 1

$\: \: \: \: \: \: \: \pink {\underline{ \huge \frak{Hola! \: Mate} }} \\ \\ \tiny \underline{\bf{As \: we \: know \: the \:pythagoras \: theorem }} : \\ \\ > > \underline{ {H}^{2} = {B}^{2} + {P}^{2}} \\ \\ \bf{ {AC}^{2} = {BC}^{2} + {AB}^{2} \: } \\ \\ > > \bf{are \: given \: } : \\ > > \mathcal{BC = 8 , AB = 6} \\ \\ > > {AC}^{2} = {8}^{2} + {6}^{2} \\ \\ > > AC^{2} = 64 + 36 \\ \\ > > AC = \sqrt{64 + 36} \\ \\ > > AC = \sqrt{100} \\ \\ > > AC = 10 \\ \\ so, \: hypotenuse \: is \: equal \: to \: 10.$