Question

Anthony Drew plans for a triangle porch determine if the triangle can be made justify your response​

Answer 1

The triangle cannot be made.

Solution:

Given sides of a triangle are 8 ft, 20 ft and 8 ft.

To determine if the triangle can be made:

Let us first define the triangle inequality theorem.

Triangle inequality theorem:

The sum of the lengths of the any two sides of a triangle is greater than the length of the third side.

Using this theorem, we can determine if the triangle can be made or not.

8 ft + 20 ft = 28 ft > 8 ft

20 ft + 8 ft = 28 ft > 8 ft

8 ft + 8 ft = 16 ft < 20 ft  

Here the sum of the two sides is less than 20 ft.

This is not satisfy the triangle inequality theorem.

Therefore, the triangle cannot be made.