Question

Drag "Yes" if the lengths could create a triangle, or "No" if the lengths could not create a triangle.

Answer 1

`\begin{gathered} \text{first option} \\ 4in,2in,\text{ 2in} \\ 2+2>4,\text{ 4}>4,\text{ false} \\ 4+2>2,\text{ 6}>2,\text{ true} \\ 2+4>2,\text{ 2}+4>2,\text{ false} \\ With\text{ the first option could not create a triangle} \\ \\ \text{Second option} \\ 1in,2in,\text{ 2in} \\ 2+2>1,\text{4}>1,\text{ true} \\ 1+2>2,\text{ 3>2, true} \\ 2+1>2\text{, 3>2, true} \\ With\text{ the second option could create a triangle} \\ \\ \text{Thrid option} \\ 7in,\text{ }6in,\text{ 5in} \\ 7+6>5,\text{ 13>5, true} \\ 6+5>7,\text{ 11>7, true} \\ 7+5>6,\text{ 12>6, true} \\ With\text{ the thrid option could create a triangle} \\ \\ \text{Fourth option} \\ 1in,\text{ 2in, 3in} \\ 1+2>3,\text{ 3>3, false} \\ 2+3>1,\text{ 5>1, true} \\ 3+1>2,\text{ 4>2 true} \\ With\text{ the Fourth option could not create a triangle} \\ \\ Fifth\text{ option} \\ 4.5\text{ in, 6.5}in,\text{ 10in} \\ 4.5+6.5>10,\text{ 11>10, true} \\ 10+6.5>4.5,\text{ 16.5>4.5, true} \\ 4.5+10>6.5,\text{ 14.5>6.5, true} \\ With\text{ the fifth option could create a triangle} \\ \end{gathered}`