Question

Identify each set of lengths that could form a triangle using pythagorean theorem

Answer 1

Explanation:

We must determine each option if it can be a triangle or not.

To know this, the sum between the two shorter sides must be greater than the longer side.

`\begin{gathered} \text{ 1st option: 15, 17, 25} \\ \\ 15+17=32 \\ \\ 32>25\rightarrow\text{ it can be a triangle} \\ \\ \text{ 2nd option: 8, 15, 6} \\ \\ 8+6=14 \\ \\ 14<15\rightarrow\text{ it can't be a triangle} \\ \\ \text{ 3rd option: 19, 9, 13} \\ \\ 9+13=22 \\ \\ 22>19\rightarrow\text{ it can be a triangle} \\ \\ \text{ 4th option: 24, 15, 33} \\ \\ 24+15=39 \\ \\ 39>33\rightarrow\text{ it can be a triangle} \\ \\ \text{ 5th option: 9, 21, 29} \\ \\ 9+21=30 \\ \\ 30>29\rightarrow\text{ it can be a triangle} \\ \\ \text{ 6th option: 3, 7, 10} \\ \\ 3+7=10 \\ \\ 10=10\rightarrow\text{ it can't be a triangle} \end{gathered}`