Question

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

Answer 1

`(5√(2) )/(2)`

Explanation:

Divide 5 by
`√(2)` , then rationalize denominator

Answer 2

Solution given:

Since the given triangle is isosceles and right angled triangle

perpendicular [p]=base[b]=x

hypotenuse [h]=5

we have

by using Pythagoras law

p²+b²=h²

x²+x²=5²

2x²=25

x²=25/2

x²=18

x=
`\sqrt{(25)/(2)}`

x=
`\bold{(5√(2))/(2)}`