Answer:
The choices are
(a) 1 foot, 1 inch, and 1 inch
(b) 10 inches, 3 inches, and 5 inches
(c) 8 cm, 4 cm, and 2 cm
(d) 14 m, 10 m, and 7 m
(e) 1 foot, 10 inches, and 7 inches
(f) 45 mm, 23 mm, and 38 mm
The options that CANNOT form a triangle are
(a), (b) and (c)
Explanation:
An example of three side lengths that can not possibly make a triangle is
5 inches, 2 inches and 2 inches
This is because the sum of the other two sides is less than the length of the third side so their will not meet if they try to form a triangle
Select ALL of the answers below that CANNOT form a triangle. Group of answer choices
(a) 1 foot, 1 inch, and 1 inch
1 foot = 12 inches, so 12 inches , 1 inch, 1 inch will not form a triangle because as stated above, their ends will not meet
(b) 10 inches, 3 inches, and 5 inches
Similarly 3 inches + 5 inches = 8 inches < 10 inches. Hence not a triangle
(c) 8 cm, 4 cm, and 2 cm
4 cm + 2 cm = 6 cm < 8 cm. Hence not a triangle
(d) 14 m, 10 m, and 7 m
10 m + 7 m = 17 m > 14 m. Therefore they will form a triangle
(e) 1 foot, 10 inches, and 7 inches
10 inches + 7 inches = 17 inches > 12 inches. Therefore they will form a triangle
(f) 45 mm, 23 mm, and 38 mm
23 mm + 38 mm = 61 mm < 45 mm. Therefore they will form a triangle
Among the above choices, a, b, c will not form a triangle.