the perimeter of an isocsles triangle is 42 cm. Its base is 2/3 times of the sum of equal sides. Find the length of equal sides and base ??
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the perimeter of an isocsles triangle is 42 cm. Its base is 2/3 times of the sum of equal sides. Find the length of equal sides and base ??
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Let be the equal sides = X and base = y.
The perimeter of isosceles triangle is 42cm.
But y= 2/3(x+x)
=2/3×2x
=4x/3
So, x+x+y =42
=2x+4x/3=42
=6x+4x/3=42
=10x=42×3
=x=42×3/10
x=126/10=12.6
y =4x/3
=4×12.6/3
=4×4.2
=16.8
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Perimeter of isocsles triangle=42cm
Let the equal sides be =x
Let the base be =y
y=2/3(x+x)
y=2/3(2x)
y=4x/3
It perimeter of triangle is 42cm
it means
x+x+y=42(putting the y value here)
2x+4x/3=42
Taking L.C.M
6x+4x/3=42
6x+4x=126
10x=126
x=12.6cm(it is equal of triangle)
putting x value in
y=4x/3
y=4*12.6/3
it come
y=16.8cm(length of triangle).. ..Ans
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Hope it helps you!!!!!