Question

Use the triangle inequality theorem to name a segment for the third side of a triangle if no segments are congruent and the first two sides are AB and BD. Use this key to enter the response: AB = 1, AC = 2, BC = 6, CD = 7. List them in ascending order

Line Graph:

A = -4

B = -1

C = 3

D = 4

Answer 1

Use the triangle inequality theorem to name a segment for the third side of a triangle if no segments are congruent and the first two sides are AB and BD. Use this key to enter the response: AB = 1, AC = 2, BC = 6, CD = 7. List them in ascending order
Line Graph:

A = -4

B = -1

C = 3

D = 4

BC and CD

AD and AB

AC and BC

CD and AD

Answer 2

so whats the answer

Answer 3

AD = 8

Answer 4

To determine the possible segment for the third side of the triangle, we need to apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

1. BC and CD:
BC = 6
CD = 7
BC + CD = 6 + 7 = 13
So, AD = 1

2. AD and AB:
AD = 8
AB = 1
AD + AB = 8 + 1 = 9
So, BC = 6

3. AC and BC:
AC = 2
BC = 6
AC + BC = 2 + 6 = 8
So, AB = 1

4. CD and AD:
CD = 7
AD = 8
CD + AD = 7 + 8 = 15
So, AB = 1

Therefore, listing them in ascending order:
AB = 1
AC = 2
BC = 6
CD = 7

Answer 5

The correct order of segments in ascending order for the third side of the triangle, based on the given lengths, is:
AB = 1
AC = 2
BC = 6
CD = 7

These segments satisfy the triangle inequality theorem with the given lengths.