Question

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]=5

we have

by using Pythagoras law

p²+b²=h²

x²+x²=5²

2x²=25

x²=25/2

x²=18

x=$\sqrt{\frac{25}{2}}$

x=$\bold{\frac{5\sqrt{2}}{2}}$

Answer 2

Answer:

$\frac{5\sqrt{2} }{2}$

Step-by-step explanation:

Divide 5 by $\sqrt{2}$ , then rationalize denominator