Question

Determine if the three given side lengths would form a right triangle
9 ft, 12 ft, 16 ft​

Answer 1

Answer:

Yes.

Step-by-step explanation:

You can use the triangle inequality theorem: the sum of any two sides must be greater than the third side. You can also just check the two smallest sides.

9+12=21

21>16   --> yes it is a triangle.

hope this helped!

Answer 2

If the sum of the lengths of any two sides of a triangle is less than or equal to the  length of the third side, then the triangle is not possible.

If a triangle has sides with lengths of 9, 12, and 16, notice that 9 + 12 or 21 is greater than 16. So the sum of the lengths of two sides of the triangle is greater than the length of the third side.

This means that the triangle with sides of lengths

9, 12, and 16 is possible.