Question

The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator.

Answer 1

Solution given:

it is a right angled isosceles triangle

so

perpendicular [p]=base[b]=5

hypotenuse [h]=x

we have

by using Pythagoras law

p²+b²=h²

5²+5²=h²

50=h²

h=
`√(50)`

x=
`\bold{5√(2)}`