The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator.
x
=
3

Answer :
Solution :
using the pythagoras theorem,
Answer:
x = 3√2
Step-by-step explanation:
An isosceles triangle has two sides of equal length, with the angles opposite these sides also being equal in measure.
As the given right triangle is isosceles, its legs will be of equal length, and the angles opposite the legs will each measure 45°, making it a special 45-45-90 right triangle.
In such a triangle, the hypotenuse is √2 times the length of the leg. So, given that the leg of this triangle measures 3 units, then the hypotenuse, x, measures 3√2 units.
[tex]\LARGE\boxed{\boxed{x=3\sqrt{2}}}[/tex]