Question

Come up with an example of three side lengths that can NOT possibly make a triangle, and explain how you know. Select ALL of the answers below that CANNOT form a triangle. Group of answer choices 1 foot, 1 inch, and 1 inch 10 inches, 3 inches, and 5 inches 8 cm, 4 cm, and 2 cm 14 m, 10 m, and 7 m 1 foot, 10 inches, and 7 inches 45 mm, 23 mm, and 38 mm

Answer 1

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)

Step-by-step 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.

Answer 2

Answer:

1 foot, 1 inch, and 1 inch

8 cm, 4 cm, and 2 cm