Question

in each bok a linde, the segments on the sides can be moved. create the following triangles. 7 points. first figure: a triangle with side lengths of 2, 6, and 9 second figure: a triangle with side lengths of 6, 7, and 9 if there is no triangle possible with the given side lengths, click on no triangle possible.

Explanation:

Step1: Check triangle inequality for first figure

For side lengths \(a = 2\), \(b = 6\), \(c = 9\). Check \(a + b>c\), \(2+6 = 8<9\).

Step2: Check triangle inequality for second figure

For side lengths \(a = 6\), \(b = 7\), \(c = 9\). Check \(a + b>c\): \(6 + 7=13>9\), \(a + c>b\): \(6+9 = 15>7\), \(b + c>a\): \(7 + 9=16>6\).

Answer:

First figure: No triangle possible. Second figure: A triangle can be formed.