Question

the perimeter of an isoceles triangle is 32cm. the ratio of the equal side to its base is 3:2. find the area of the triangle​

Answer 1

Answer:

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Step-by-step explanation:

so let congruent sides be x and base be y for certain isoceles triangle whose perimeter is 32cm

so applying

perimeter=2x+y (1)

according to given condition

x/y=3/2

ie x=3y/2

substitute it in (1)

we get 32=2×3y/2+y

ie 32=3y+y

=4y

ie y=8

so substitute it in (1)

we get x=12

now use area of isoceles triangle=base×height upon 2

ie 8×12 upon 2

ie 96/2

=48 cm square

hence area of isoceles triangle is 48 sq.cm