For the isosceles triangle, the two equal sides measure 4 units, and the base 2 units.
What are the possible lengths of the legs?
Here we have an isosceles triangle, we know that all the sides are integers.
The two equal sides measure x, and the last side (the base) is half as that, then it measures x/2.
And all the sides are integers, so x/2 is also an integer, which means that x must be an even number. The perimeter is between 6 and 16 units, then:
P = x + x + 1/2 = x*(1 + 1 + 1/2) = x*( 2/2 + 2/2 + 1/2) = x*(5/2)
The minimum value of P is between 6 and 16, and:
P = x*(5/2)
Can only give multiples of 5, then if P = 10 we have:
10 = x*(5/2)
10*(2/5) = x = 4
This means that the two equal sides measure 4 units, and the base 2 units.
If you want to learn more about isosceles triangles:
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