First, we can determine the lengths of AH and BD using the numbers given. The lengths of AB and BD are -4 and -2 respectively. We know that AH + HD = AD, so AH = AD - BD. This means AH = 12 - (-2) = 14.
Next, we can use the Triangle Inequality Theorem to determine which line segments could be used as the third side of the triangle. The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the possible combinations are:
1. AB and BC: -4 + -1 = -5 (not greater than 12)
2. BC and CD: -1 + 3 = 2 (not greater than 4)
3. CD and DA: 3 + 12 = 15 (greater than 4)
4. DA and AB: 12 + (-4) = 8 (greater than -1)
Therefore, the third side of the triangle could be AD or DA.
A
-4
B
-2
-1
12
CD
3
4
A triangle has no congruent sides. The lengths of two sides of the triangle are AB and BD. Use the number time above to determine the lengths of AH and BD Thun, use the Triangle Inequality Theorem to determine which faro segments have lungiles that could be used as the third side of the tangie Select a response containing 2 possibile a
CBC and AD
BCCD
ID and AC
1 answer