Question

-4 -1 3 4
A triangle is has no congruent sides. The lengths of two sides of the triangle are AB and BD. Use the number line above to turn the lights of a b and a d then use the triangle inequality theorem to determine which two segments have lengths that could be used as the third side of the triangle such a response intend to possible answers

CD and AC
BC and AD
BC and CD
AC and BC

Answer 1

Based on the number line, the lengths of AB and BD are 4 and 3 respectively.

Using the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

1. AC: 4 + 3 = 7
2. AD: 4 - 3 = 1
3. CD: -1 + 3 = 2
4. BC: -1 + 4 = 3

So, the two segments that could be used as the third side of the triangle with lengths AB and BD are BC and CD.