Question

Use the Pythagorean Theorem to find the missing side of the right triangle with the given measures. c is the hypotenuse.
a = 6, b = 10, c = ?

Answer 1

\[c ^{2}=a ^{2}+b ^{2}\rightarrow c ^{2}=6^{2}+10^{2}=36+100=136\rightarrow c=+\sqrt{136}=2 sqrt{34}\]

Answer 2

Use :
\[c^2 = a^2 + b^2\]
because In a right angled triangle,

\[Hypotenuse^2 = Base^2 + Height^2\]

Or you can use directly:
\[c = \sqrt{a^2 + b^2}\]

You have a = 6, you have b = 10 and now can you find c??