The missing choices are here
A. 23 m, 17 m, 14 m
B. 11 m, 11 m, 12 m
C. 5 m, 7 m, 8 m
D. 21 m, 6 m, 10 m
Answer:
21 m, 6 m, 10 m cannot be the length of the sides of a triangle ⇒ D
Step-by-step explanation:
There is a fact to form a triangle:
The sum of the lengths of the two smaller sides must be greater than the length of the third side
A.
∵ The smallest sides are 14 m and 17 m
∵ Their sum = 14 + 17 = 31 m
∵ The third side is 23 m
∵ 31 > 23
∴ 23 m, 17 m, 14 m can be the length of the sides of a triangle
B.
∵ The smallest sides are 11 m and 11 m
∵ Their sum = 11 + 11 = 22 m
∵ The third side is 12 m
∵ 22 > 12
∴ 11 m, 11 m, 12 m can be the length of the sides of a triangle
C.
∵ The smallest sides are 5 m and 7 m
∵ Their sum = 5 + 7 = 12 m
∵ The third side is 8 m
∵ 12 > 8
∴ 5 m, 7 m, 8 m can be the length of the sides of a triangle
D.
∵ The smallest sides are 6 m and 10 m
∵ Their sum = 6 + 10 = 16 m
∵ The third side is 21 m
∵ 16 < 21
∴ 21 m, 6 m, 10 m cannot be the length of the sides of a triangle
