the preimeter of an iscscles triangle is 32 cm . the ratio of the equal side to its base is 3:2 find the area of the triangle
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Step-by-step explanation:
let the common ratio be x
then ratio is 2x:3x
given base is 2x
also given its an isosceles triangle
2x+3x+3x=32
8x=32
x=4
the sides are 8,12,12
semi perimeter=8+12+12/2
=32/2
=16
area=√16(16-8)(16-12)(16-12)
=√16(8)(4)(4)
=√16*16*8
=16√8 units
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