Algebra 2 word problem?
The lengths of a the legs of an isosceles triangle are integers. The base is half as long as each leg. What are the possible lengths of the legs if the perimeter is between 6 units and 16 units?
The lengths of a the legs of an isosceles triangle are integers. The base is half as long as each leg. What are the possible lengths of the legs if the perimeter is between 6 units and 16 units?
Comments
if we call the side of the triangle is x then
the perimeter of the triangle should be
6< 2x + .5x <16
6 < 2.5x <16
2.4<x<6.4
the possible lengths for the sides of the isosceles triangle will be
3,4,5,6 units
Draw an isosceles triangle. You know the legs are the same length (this is what isosceles means) and are integers. The base is half the length of a leg. The perimeter (leg+leg+base) is between 6 and 16 units long.
base=leg/2
perimeter=leg+leg+leg/2=(2.5)leg
leg must be between 6/2.5=2.4 and 16/2.5=6.4
What integers are between 2.4 and 6.4?