58.6k views
1 vote
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

User Fonseca
by
7.9k points

2 Answers

3 votes

Answer:

1 foot, 1 inch, and 1 inch

8 cm, 4 cm, and 2 cm

User JBartlau
by
8.5k points
1 vote

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.

User Gacha
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories