Question

I need a simple but deep explanation on how to solve this

Answer 1

Let x be the missing side. Since we have a right triangle, we can apply Pythagorean theorem:

`x^2+8^2=10^2`

Remember that the hypotenuse (10 in our case) is always in front of the right angle. Then, from the last result, we have

`x^2+64=100`

By subtracting 64 to both sides, we get

`x^2=36`

then x is given by

`\begin{gathered} x=\sqrt[]{36} \\ x=6 \end{gathered}`

Therefore, the answer is: 6