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.
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
1 answer