Question

A triangle has one side that measures 1 foot and another side that measures 24 inches. Which are possible side lengths of the third side?A: 5B: 19C: 42 D: 15

Answer 1

A triangle has one side equal to 1 foot that is 12 inches.

The second side is equal to 24 inches.

Let x denotes the length of the third side.

The third side must be less than the sum of these two sides.

`\begin{gathered} x<12+24 \\ x<36 \end{gathered}`

Also the third side must be greater than the difference of these two sides.

`\begin{gathered} x>24-12 \\ x>12 \end{gathered}`

So the possible length of the third side must be greater than 12 and less than 36.

[tex]12Options B and D are correct.

The possible lengths of the third side of the triangle are

B: 19 inches

D: 15 inches