the perimeter of isosceles triangle is 32cm.the ratio of the equal side to it's base 3:2. find the area of the triangle
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Step-by-step explanation:
let equal sides be 3x,2x
area=1/2base×height =32cm
1/2×3x×2x=32
3x=32
X=32/3
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Answer:
Given,
Perimeter if isosceles triangle = 32cm
Ratio of equal sides to base = 3:2
Let the sides of the triangle be 3x,3x & 2x
According to the question,
3x + 3x + 2x = 32cm
8x = 32cm
x = 4cm
Therefore equal sides = 3x = 4 * 3 = 12 cm
& Base = 2x = 2 * 4 = 8cm
Area of triangle = 1/2 * base * Height
Area of given triangle = 1/2 * 8 * 12
= 4 * 12 = 48cm
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