Question

Find the length of side x in simplest radical form with rational denominator. the short leg is root 2 and the long leg is x we don't know the hypotenuse.

Answer 1

√2 + x

Explanation:

To obtain the hypotenus, h:

Using Pythagoras rule :

h² = opposite² + Adjacent²

Opposite = √2

Adjacent= x

h² = (√2)² + x²

Take the square root of both sides

h = √2 + x

Hence, the hypotenus is √2 + x