Question

A triangle has two sides of lengths 10 and 14. What value could the length ofthe third side be? Check all that apply.A. 10B. 2C. 26D. 5E. 8OF. 16SUBMIT

Answer 1

The triangle inequality theorem tells us that the sum of the two sides of a triangle must be longer than the third side.

So, to find the possible lengths of the third side of a triangle that ahs two sides measuring 10 and 14, we find the boundaries:

`\begin{gathered} 14-10=4 \\ 14+10=24 \end{gathered}`

The third side must therefore be longer than 4 but shorter than 24.

The answerrs are: A, D, E, and F.