To determine if a certain length could be the third side of a 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.
For this problem, the first two sides measure 4 and 6.
We check each option:
1) 4 + 1 = 5 (greater than 2)
2) 4 + 9 = 13 (greater than 11)
3) 4 + 11 = 15 (greater than 9)
From the options provided, the only length that satisfies the Triangle Inequality Theorem is 9.
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.(1 point) Responses 1 1 9 9 11 11 2
11 answers
are sure its right?
Apologies for the incorrect response. Let's go through the options again:
1) 4 + 1 = 5 (greater than 2)
2) 4 + 9 = 13 (greater than 6)
3) 4 + 11 = 15 (greater than 6)
Therefore, the only length that satisfies the Triangle Inequality Theorem is 2.
1) 4 + 1 = 5 (greater than 2)
2) 4 + 9 = 13 (greater than 6)
3) 4 + 11 = 15 (greater than 6)
Therefore, the only length that satisfies the Triangle Inequality Theorem is 2.
Apply the Triangle Inequality Theorem and determine which group of side measures will form a triangle.(1 point) Responses 9, 4, 3 9, 4, 3 2, 7, 6 2, 7, 6 12, 10, 22 12, 10, 22 8, 1, 7
To determine if a group of side measures will form a 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.
Let's go through each group of side measures:
1) 9, 4, 3
9 + 4 = 13 (greater than 3)
9 + 3 = 12 (greater than 4)
4 + 3 = 7 (greater than 9)
The group of side measures 9, 4, 3 will form a triangle.
2) 2, 7, 6
2 + 7 = 9 (greater than 6)
2 + 6 = 8 (greater than 7)
7 + 6 = 13 (greater than 2)
The group of side measures 2, 7, 6 will form a triangle.
3) 12, 10, 22
12 + 10 = 22 (equal to 22, not greater)
12 + 22 = 34 (greater than 10)
10 + 22 = 32 (greater than 12)
The group of side measures 12, 10, 22 will not form a triangle.
4) 8, 1, 7
8 + 1 = 9 (greater than 7)
8 + 7 = 15 (greater than 1)
1 + 7 = 8 (greater than 8)
The group of side measures 8, 1, 7 will form a triangle.
Therefore, the groups of side measures that will form a triangle are 9, 4, 3 and 2, 7, 6.
Let's go through each group of side measures:
1) 9, 4, 3
9 + 4 = 13 (greater than 3)
9 + 3 = 12 (greater than 4)
4 + 3 = 7 (greater than 9)
The group of side measures 9, 4, 3 will form a triangle.
2) 2, 7, 6
2 + 7 = 9 (greater than 6)
2 + 6 = 8 (greater than 7)
7 + 6 = 13 (greater than 2)
The group of side measures 2, 7, 6 will form a triangle.
3) 12, 10, 22
12 + 10 = 22 (equal to 22, not greater)
12 + 22 = 34 (greater than 10)
10 + 22 = 32 (greater than 12)
The group of side measures 12, 10, 22 will not form a triangle.
4) 8, 1, 7
8 + 1 = 9 (greater than 7)
8 + 7 = 15 (greater than 1)
1 + 7 = 8 (greater than 8)
The group of side measures 8, 1, 7 will form a triangle.
Therefore, the groups of side measures that will form a triangle are 9, 4, 3 and 2, 7, 6.
choose one bot thank you
The group of side measures that will form a triangle is 9, 4, 3.
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.(1 point) Responses 5.5 5.5 4.5 4.5 4.2 4.2 3.5
To apply the Triangle Inequality Theorem, we need to find a possible measure for the third side of the triangle by checking if the sum of the first two sides is greater than the third side.
Given that the two sides measure 3.7 and 8.2, we can check each option:
1) 3.7 + 5.5 = 9.2 (greater than 4.5)
2) 3.7 + 4.5 = 8.2 (equal to 8.2, not greater)
3) 3.7 + 4.2 = 7.9 (greater than 3.5)
From the options provided, the possible measure for the third side is 4.5 since 3.7 + 4.5 = 8.2 (greater than 8.2).
Given that the two sides measure 3.7 and 8.2, we can check each option:
1) 3.7 + 5.5 = 9.2 (greater than 4.5)
2) 3.7 + 4.5 = 8.2 (equal to 8.2, not greater)
3) 3.7 + 4.2 = 7.9 (greater than 3.5)
From the options provided, the possible measure for the third side is 4.5 since 3.7 + 4.5 = 8.2 (greater than 8.2).
choose
5.5
4.5
4.2
3.5
5.5
4.5
4.2
3.5
Apologies for the confusion. Let's reassess the options:
Given that the two sides measure 3.7 and 8.2, we can check each option:
1) 3.7 + 5.5 = 9.2 (greater than 8.2)
2) 3.7 + 4.5 = 8.2 (equal to 8.2, not greater)
3) 3.7 + 4.2 = 7.9 (greater than 8.2)
4) 3.7 + 3.5 = 7.2 (greater than 8.2)
From the options provided, the possible measures for the third side of the triangle are 5.5 and 4.2 since the sum of the first two sides is greater than both values (8.2).
Given that the two sides measure 3.7 and 8.2, we can check each option:
1) 3.7 + 5.5 = 9.2 (greater than 8.2)
2) 3.7 + 4.5 = 8.2 (equal to 8.2, not greater)
3) 3.7 + 4.2 = 7.9 (greater than 8.2)
4) 3.7 + 3.5 = 7.2 (greater than 8.2)
From the options provided, the possible measures for the third side of the triangle are 5.5 and 4.2 since the sum of the first two sides is greater than both values (8.2).
1 answer