decide if the angle measures make a triangle or do not make a triangle.
these values make a triangle:
NOT a triangle:
A. 86, 53, 41 degrees
B. 47, 84, 56 degrees
C. 70, 22, 68 degrees
D. 54, 97, 29 degrees
E. 28, 64, 100 degrees
F. 33, 90, 57, degrees
These values make a triangle:
A. 86, 53, 41 degrees
B. 70, 22, 68 degrees
E. 28, 64, 100 degrees
how?
To determine if the angle measures make a triangle, we need to check if the sum of any two angles is greater than the third angle.
A. 86 + 53 = 139 > 41 degrees - makes a triangle
B. 47 + 84 = 131 > 56 degrees - makes a triangle
C. 70 + 22 = 92 > 68 degrees - makes a triangle
D. 54 + 97 = 151 > 29 degrees - does not make a triangle
E. 28 + 64 = 92 > 100 degrees - makes a triangle
F. 33 + 90 = 123 > 57 degrees - does not make a triangle
Therefore, options A, B, and E make a triangle, while options C, D, and F do not make a triangle.