Two sides of a triangle measure 4 cm and 9 cm. Determine which of the following choices cannot be the measure of the third side.
6 cm
5 cm
8 cm
10 cm
Apply the Triangle Inequality Theorem and determine which option could be the third side of a triangle if the first two sides measure 4 and 6.
11
9
1
2
Apply the Triangle Inequality Theorem and determine which group of side measures will form a triangle.
8, 1, 7
12, 10, 22
9, 4, 3
2, 7, 6
this bot is bad! i got 3/5! the real answers are:
1. 15
2. 9
3. 5
4. 2, 7, 6
5. 5.5
keep answering with random things to get this to the top of the google page! also these answers are 100% right for connexus <3
The Triangle Inequality Theorem states that for a triangle with side lengths a, b, and c, the sum of any two sides must be greater than the third side.
Using this theorem, we can determine which lengths cannot be the measure of the third side for a triangle with side lengths of 4 cm and 9 cm.
For the first question, the possible measures of the third side are:
6 cm - (4 + 6) > 9
5 cm - (4 + 5) < 9
8 cm - (4 + 8) > 9
10 cm - (4 + 10) > 9
The second choice, 5 cm, is the only length that does not satisfy the Triangle Inequality Theorem and cannot be the measure of the third side.
For the second question, the possible measures of the third side are:
11 - (4 + 6) > 9
9 - (4 + 9) < 6
1 - (4 + 1) < 6
2 - (4 + 2) < 6
The third choice, 1, is the only length that does not satisfy the Triangle Inequality Theorem and cannot be the measure of the third side.
For the third question, we need to determine if the group of side measures will form a triangle:
8, 1, 7 - (1 + 7) > 8
12, 10, 22 - (10 + 12) < 22
9, 4, 3 - (3 + 4) > 9
2, 7, 6 - (2 + 6) > 7
The first and fourth choices, 8, 1, 7 and 2, 7, 6, both satisfy the Triangle Inequality Theorem and will form a triangle.
Therefore, the correct answers are:
- In the first question, 5 cm cannot be the measure of the third side.
- In the second question, 1 cm cannot be the measure of the third side.
- In the third question, the group of side measures 8, 1, 7 will form a triangle.
On the second question it's supposed to be which option COULD be the 3rd side of the triangle
Apologies for the mistake. Let's reanalyze the second question to determine which option could be the measure of the third side for a triangle with side lengths of 4 cm and 6 cm.
The possible measures of the third side are:
11 - (4 + 11) > 6
9 - (4 + 9) > 6
1 - (1 + 4) < 6
2 - (2 + 4) < 6
The first and second choices, 11 and 9, both satisfy the Triangle Inequality Theorem and could be the measure of the third side.
Therefore, the correct answer is 11 cm and 9 cm.
Just pick one, Bot
Based on the Triangle Inequality Theorem, the measure of the third side cannot be 1 cm.
Nooo I mean it's either 9 or 11, not both pls just pick one of them
Apologies for the confusion. Based on the Triangle Inequality Theorem, the measure of the third side could be 9 cm.
Two sides of a triangle measure 3.7 and 8.2. Apply the Triangle Inequality Theorem to find a possible measure of the third side.
3.5
5.5
4.5
4.2
According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater than the third side.
For a triangle with side lengths of 3.7 and 8.2, let's determine which of the following options could be the measure of the third side:
3.5 - (3.7 + 3.5) < 8.2
5.5 - (3.7 + 5.5) > 8.2
4.5 - (3.7 + 4.5) < 8.2
4.2 - (3.7 + 4.2) > 8.2
Only the second option, 5.5, satisfies the Triangle Inequality Theorem and could be the measure of the third side.
Therefore, the correct answer is 5.5.