To determine if the given values make a triangle or not, we need to apply the triangle inequality theorem. According to this theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's check each set of values:
1) 86, 53, 51:
86 + 53 = 139 > 51
86 + 51 = 137 > 53
53 + 51 = 104 > 86
The values 86, 53, and 51 can form a triangle.
2) 70, 22, 68:
70 + 22 = 92 > 68
70 + 68 = 138 > 22
22 + 68 = 90 > 70
The values 70, 22, and 68 can form a triangle.
3) 28, 64, 100:
28 + 64 = 92 > 100
28 + 100 = 128 > 64
64 + 100 = 164 > 28
The values 28, 64, and 100 can form a triangle.
4) 47, 84, 56:
47 + 84 = 131 > 56
47 + 56 = 103 > 84
56 + 84 = 140 > 47
The values 47, 84, and 56 can form a triangle.
5) 54, 97, 29:
54 + 97 = 151 > 29
54 + 29 = 83 > 97
97 + 29 = 126 > 54
The values 54, 97, and 29 can form a triangle.
6) 33, 90, 57:
33 + 90 = 123 > 57
33 + 57 = 90 > 90
57 + 90 = 147 > 33
The values 33, 90, and 57 can form a triangle.
In conclusion, all of the given sets of values can form triangles.
Do these Values make triangle or do they not
86, 53, 51
70, 22, 68
28, 64, 100
47, 84, 56
54, 97, 29
33, 90, 57
9 answers
how do you know
I know that the given sets of values can form triangles because they satisfy the triangle inequality theorem. This theorem states that in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
By calculating the sums of each pair of sides for the given sets of values and comparing them to the length of the third side, we can determine if they satisfy the triangle inequality. In all of the cases provided, the sums of any two sides are indeed greater than the remaining side, indicating that they can form triangles.
By calculating the sums of each pair of sides for the given sets of values and comparing them to the length of the third side, we can determine if they satisfy the triangle inequality. In all of the cases provided, the sums of any two sides are indeed greater than the remaining side, indicating that they can form triangles.
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Do these Values make triangle or do they not
86, 53, 41
70, 22, 68
28, 64, 100
47, 84, 56
54, 97, 29
33, 90, 57
86, 53, 41
70, 22, 68
28, 64, 100
47, 84, 56
54, 97, 29
33, 90, 57
To determine if the given values make a triangle or not, we need to apply the triangle inequality theorem. According to this theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's check each set of values:
1) 86, 53, 41:
86 + 53 = 139 > 41
86 + 41 = 127 > 53
53 + 41 = 94 > 86
The values 86, 53, and 41 can form a triangle.
2) 70, 22, 68:
70 + 22 = 92 > 68
70 + 68 = 138 > 22
22 + 68 = 90 > 70
The values 70, 22, and 68 can form a triangle.
3) 28, 64, 100:
28 + 64 = 92 > 100
28 + 100 = 128 > 64
64 + 100 = 164 > 28
The values 28, 64, and 100 can form a triangle.
4) 47, 84, 56:
47 + 84 = 131 > 56
47 + 56 = 103 > 84
56 + 84 = 140 > 47
The values 47, 84, and 56 can form a triangle.
5) 54, 97, 29:
54 + 97 = 151 > 29
54 + 29 = 83 > 97
97 + 29 = 126 > 54
The values 54, 97, and 29 can form a triangle.
6) 33, 90, 57:
33 + 90 = 123 > 57
33 + 57 = 90 > 90
57 + 90 = 147 > 33
The values 33, 90, and 57 can form a triangle.
In conclusion, all of the given sets of values can form triangles.
Let's check each set of values:
1) 86, 53, 41:
86 + 53 = 139 > 41
86 + 41 = 127 > 53
53 + 41 = 94 > 86
The values 86, 53, and 41 can form a triangle.
2) 70, 22, 68:
70 + 22 = 92 > 68
70 + 68 = 138 > 22
22 + 68 = 90 > 70
The values 70, 22, and 68 can form a triangle.
3) 28, 64, 100:
28 + 64 = 92 > 100
28 + 100 = 128 > 64
64 + 100 = 164 > 28
The values 28, 64, and 100 can form a triangle.
4) 47, 84, 56:
47 + 84 = 131 > 56
47 + 56 = 103 > 84
56 + 84 = 140 > 47
The values 47, 84, and 56 can form a triangle.
5) 54, 97, 29:
54 + 97 = 151 > 29
54 + 29 = 83 > 97
97 + 29 = 126 > 54
The values 54, 97, and 29 can form a triangle.
6) 33, 90, 57:
33 + 90 = 123 > 57
33 + 57 = 90 > 90
57 + 90 = 147 > 33
The values 33, 90, and 57 can form a triangle.
In conclusion, all of the given sets of values can form triangles.
Do these Values make triangle or do they not
86, 53, 51
70, 22, 68
28, 64, 100
47, 84, 56
54, 97, 29
33, 90, 57
MAKE SURE THEY ARE EQUAL TO 180 DEGREES!!!
86, 53, 51
70, 22, 68
28, 64, 100
47, 84, 56
54, 97, 29
33, 90, 57
MAKE SURE THEY ARE EQUAL TO 180 DEGREES!!!
To determine if the given values form a triangle with angles adding up to 180 degrees, we can use the triangle angle sum theorem. According to this theorem, the sum of the interior angles of a triangle is always 180 degrees.
Let's check each set of values:
1) 86, 53, 51:
To calculate the third angle, we can subtract the sum of the other two angles from 180 degrees:
180 - (86 + 53) = 180 - 139 = 41 degrees
The sum of the angles in this triangle is 86° + 53° + 41° = 180°.
2) 70, 22, 68:
180 - (70 + 22) = 180 - 92 = 88 degrees
The sum of the angles in this triangle is 70° + 22° + 88° = 180°.
3) 28, 64, 100:
180 - (28 + 64) = 180 - 92 = 88 degrees
The sum of the angles in this triangle is 28° + 64° + 88° = 180°.
4) 47, 84, 56:
180 - (47 + 84) = 180 - 131 = 49 degrees
The sum of the angles in this triangle is 47° + 84° + 49° = 180°.
5) 54, 97, 29:
180 - (54 + 97) = 180 - 151 = 29 degrees
The sum of the angles in this triangle is 54° + 97° + 29° = 180°.
6) 33, 90, 57:
180 - (33 + 90) = 180 - 123 = 57 degrees
The sum of the angles in this triangle is 33° + 90° + 57° = 180°.
In conclusion, all of the given sets of values form triangles with angles that add up to 180 degrees.
Let's check each set of values:
1) 86, 53, 51:
To calculate the third angle, we can subtract the sum of the other two angles from 180 degrees:
180 - (86 + 53) = 180 - 139 = 41 degrees
The sum of the angles in this triangle is 86° + 53° + 41° = 180°.
2) 70, 22, 68:
180 - (70 + 22) = 180 - 92 = 88 degrees
The sum of the angles in this triangle is 70° + 22° + 88° = 180°.
3) 28, 64, 100:
180 - (28 + 64) = 180 - 92 = 88 degrees
The sum of the angles in this triangle is 28° + 64° + 88° = 180°.
4) 47, 84, 56:
180 - (47 + 84) = 180 - 131 = 49 degrees
The sum of the angles in this triangle is 47° + 84° + 49° = 180°.
5) 54, 97, 29:
180 - (54 + 97) = 180 - 151 = 29 degrees
The sum of the angles in this triangle is 54° + 97° + 29° = 180°.
6) 33, 90, 57:
180 - (33 + 90) = 180 - 123 = 57 degrees
The sum of the angles in this triangle is 33° + 90° + 57° = 180°.
In conclusion, all of the given sets of values form triangles with angles that add up to 180 degrees.
1 answer