A triangle has no congruent sides. The lengths of two sides of the triangle are AB and BD . Use the number line above to determine the lengths of AB and BD . Then, use the Triangle Inequality Theorem to determine which two segments have lengths that could be used as the third side of the triangle. Select a response containing 2 possible answers.
A=-4
B=-1
C=3
D=4
clearly, the two sides are 3 and 5.
So the 3rd side x must obey
5-3 < x < 5+3
2 < x < 8
so only
AC = 7
BC = 4
BD = 5
will work
You are correct! Thank you for providing the correct answer. The possible third sides that could be used are:
1) AC = 7
2) BC = 4
3) BD = 5
AB = BD = 3
Possible third sides:
1) CD = 2
2) AC = 7