Answer:
[tex]x=\sqrt{13}[/tex]
Step-by-step explanation:
Base of the isosceles triangle = 4
Perpendicular of the triangle = 3
In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.
In that right angled triangles,
Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )
Perpendicular = 3
Hypotenuse = x
So , according to Pythagorean Theorem ,
[tex]Hypotenuse = \sqrt{Base^2 + Perpendicular^2}[/tex]
Using all the values above into the formula gives :-
[tex]x =\sqrt{2^2 + 3^2} = \sqrt{4+9} =\sqrt{13}[/tex]
