Question

Steve has two pieces of PVC pipe of length 4 ft and 7 ft. Which of the following lengths of PVC pipe could be used as the third piece to form a triangle? options: 2 ft, 3 ft, 10 ft, 12 ft

Answer 1

Answer:

10 feet

Step-by-step explanation:

here's the reason ; -

let's take the missing side be x

we know, the one side of a triangle should always be greater than the difference between the other two sides, so ,

=》x > 7-4

=》x > 3

and the measure of a side should always be less than the some of the other two sides, hence

=》7 + 4 > x

=》11 > x

now, we have : -

11 > x > 3

value of x should be more than 3 and less than 11 , hence 2 ft , 3 ft and 12 ft can't be the measure of third side,

so, we got our third side as 10 ft