Question

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

Answer 1

Answer:

Solution given:

Since the given triangle is isosceles and right angled triangle

perpendicular [p]=base[b]=x

hypotenuse [h]=6

we have

by using Pythagoras law

p²+b²=h²

x²+x²=6²

2x²=36

x²=36/2

x²=18

x=$\sqrt{18}$

x=$\bold{3\sqrt{2}}$