Question

find the number of isosceles triangle with integral sides length whose perimeter is 144​

Answer 1

If all of the sides are integers, and the perimeter is an even number, the measure of the base must be even.

The triangle inequality says that the sum of any two sides must be longer than the 3rd side.

When the base is 72 units, our triangle is degenerate. And when the base is 0 the triangle is degenerate.

There are 35 even integers with 0<2z<72

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