Question

Is the following statementpossible or impossible?A triangle has side lengths of4,7, and 10.PossibleImpossible

Answer 1

Consider that a triangle is possible if the sum of any two sides is greater than the third side.

The given side measurements are 4, 7, and 10.

Consider the following,

`\begin{gathered} \text{ Sum of sides 4 and 7} \\ =4\text{ units}+7\text{ units } \\ =11 \end{gathered}`

Since the sum of its two smaller sides is greater than the longest side, we can conclude that the sum of any two sides will be greater than the third side.

So the triangle with the given side measurements is po