Question

Find the length of side xx in simplest radical form with a rational denominator.

Answer 1

Solution given:

it is a right angled isosceles triangle

so

perpendicular [p]=base[b]=3

hypotenuse [h]=x

we have

by using Pythagoras law

p²+b²=h²

3²+3²=h²

18=h²

h=
`√(18)`

x=
`\bold{3√(2)}`