Question

the perimeter of an isosceles triangle is 32cm. the ratio if the equal side to its base is 3 is to 2. find the area of the triangle

Answer 1

the area of the triangle is 32 root 2

Or
The area of the triangle can be in the form
32×1.414.....

Answer 2

perimeter of an isosceles triangle 2a + b
where a and b are length of sides.
2a + b = 32
a:b=3:2
a=3b/2
thus; 4b=32
b=8
a=12
area= √{S(s-a)(s-b)(s-c)}
where s is semiperimeter
area=√{16(16-12)(16-12)(16-8)}
area√{16×4×4×8
area =45.25