Question

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

Answer 1

the answer is

32 root 2cm²

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Answer 2

Answer:

32√2

Step-by-step explanation:

Perimeter of the isoceles triangle=32cm

Ratio of equal sides to base= 3:2

∴3x+3x+2x=32cm

⇒8x=32cm

⇒x=32/8

⇒x=4

equal sides= 4×3=12cm

base=4×2=8cm

Now, semi perimeter (s) of the triangle=32cm÷2=16cm

By Heron's Formula,

√16(16-12)(16-12)(16-8)

=√16×4×4×8

=√4²×4²×2²×2

=4×4×2×√2

=32√2

Hope that helped :)