One possible isosceles triangle he can create has two sides that are each 5 feet long, with the third side being longer. In this case, the perimeter would be 15 feet.
Another possible scalene triangle he can create has one side that is 5 feet long, and the other two sides being longer. The perimeter of this triangle would also be 15 feet.
He could also create an equilateral triangle with all three sides being 5 feet long. In this case, the perimeter would be 15 feet as well.
Overall, there are multiple ways Theo can arrange the pieces of wood to create a triangular garden with a whole number perimeter against his house.
Theo is building a garden against his house. He bought two pieces of wood that are each five feet long. He wants to create a triangular garden against his house using the two pieces of wood, without cutting them. His house will be the third side of the triangle. He also wants the perimeter of his garden to be a whole number.
There are
different triangles he can create that fit these conditions.
Of these triangles, there are
isosceles,
scalene, and
equilateral.
1 answer