The area of the isosceles triangle is 5√11/4 cm² if the . . .

Question : Write true or false for the given statement. 

"The area of the isosceles triangle is 5√11/4 cm² if the perimeter is 11 cm and the base is 5 cm."

Doubt by Purvi

Solution : 

Let the equal sides of the isosceles triangle be 
a and base be b. So the three sides of the isosceles triangle would be a, a and b.

b=5 cm (Given)
Perimeter (P) = 11 cm 
a+a+b=11

2a+5=11
2a=11-5
2a=6
a=6/2
a=3 cm 

So the three sides of the isosceles triangle would be a, a and b where a=3 cm and b=5 cm 

Now, 
Area of isoseceles triangle is given by 

Area of isoseceles triangle is  5√11/4 cm². Hence, the above statement is absolutely correct.