Using the Triangle Inequality Theorem (see picture above), determine which three sides form a triangle.
(1 point)
Responses
A. 8, 8, 20
8, 8, 20
B. 10, 20, 30
10, 20, 30
C. 10, 15, 20
10, 15, 20
D. 4, 8, 12
A. 8, 8, 20
In order for three sides to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
In this case, for sides of length 8, 8, and 20:
8 + 8 = 16 < 20 (not greater than)
8 + 20 = 28 > 8
8 + 20 = 28 > 8
So, the sides of length 8, 8, and 20 do not form a triangle.