Question

Find the missing side of this righttriangle.138Хx = V[?]xEnter the number that belongs in the green box.Enter

Answer 1

Since we have a right triangle, we can apply Pytagorean theorem, that is,

$x^2+8^2=13^2$

where the 13 units side is the hypotenuse. Remember that the hypotenuse is always in front of the right angle.

From our last equation, we have

$x^2+64=169$

Now, by subtracting 64 to both sides, we get

$x^2=105$

and by taking square root to both sides, we obtain

$x=\sqrt[]{105}$

Therefore, 105 is the number that belongs in the green box.