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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. plz tell the answer with full solution​

Answer»

The ratio of the equal SIDE to its BASE is 3: 2.And, The perimeter of an ISOSCELES triangle is 32 CM. So 3x+3x+2x = 328x = 32x = 4So the sides are12, 12 and 8 cm. The height of the triangle h = √(12*12 - 4*4)h = √(144-16)h = √128h = 8* √2 The area of the triangle = 1/2*b*h= 1/2*8*8*(√2)= 32√2



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