Question

The perimeter of an isosceles triangle is 90 m.If the length of the two equal side is 3/4 of the length of unequal side,find the dimension of the triangle

Answer 1

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Let the three sides be p, q and r respectively.
The equal sides be p = q.
Given, perimeter = 90 cm.

So, By condition,

p + q + r = 90
=> p + p + r = 90 (Since, p=q=equal sides)
=> p = (90-r)/2.

Now, it is also said that the length if two equal sides is 3/4 of unequal side.
So, p = q = (3/4)r.

So, p = (90-r)/2
=> 3r/4 = (90-r)/2
=> 6r = 360-4r
=> 10r = 360
=> r = 36 m.

So, p = q = (3/4)r = ((3/4)×36) m = (3×9) m = 27 m.

So, the dimensions are 27m, 27m and 36 m respectively.

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