Which of these four sets of side lengths will form a right triangle?

Set 1
6 cm, 7 cm, StartRoot 12 EndRoot cm

Set 2
8 in., StartRoot 29 EndRoot in., StartRoot 35 EndRoot in.

Set 3
StartRoot 3 EndRoot mm, 4 mm, StartRoot 5 EndRoot mm

Set 4
9 ft, StartRoot 26 EndRoot ft, 6 ft

Set 1
Set 2
Set 3
Set 4

Set 1, Set 2, Set 3

Explanation:

In order to form a triangle:

- The longest side must be no longer than the sum of the other 2 sides

- The shortest side must be no shorter than the difference between the other 2 sides

If we call a, b, c the lengths of the 3 sides, with c = longest side and a = shortest side, this means that:

Let's now analyze the 4 sets and see if they satisfy the conditions or not:

Set 1:

a = 6 cm,  b = 7 cm, c = 12 cm

We see that

12 < 6 + 7 --> OK

6 > 12 - 7 OK

So, this set can form a triangle.

Set 2:

a = 8 in,  b = 29 in, c = 35 in

We see that

35 < 8 + 29 --> OK

8 > 35 - 29 --> OK

So, this set can form a triangle.

Set 3:

a = 3 mm,  b = 4 mm, c = 5 mm

We see that

5 < 3+4 --> OK

3 > 5-4 --> OK

So, this set can form a triangle.

Set 4:

a = 6 ft,  b = 9 ft, c = 26 ft

We see that

27 < 6 + 9 --> NO

6 > 26-9 --> NO

So, this set CANNOT form a triangle.

Set 2

Explanation:

I just took the quiz on edge

answer: j

explanation:

the narrator is a first person, participant one, who describes in the simple past tense important and difficult events in his earlier life. he also provides temporal markers as the month (january) and the time (12: 30 pm). finally the account of his experience is very detailed, to the extent that a participant narrator would talk the same way about his experiences. a good example of such detail is the mention of the “bovril ration” which historically was a native american food adopted by european explorers in arctic and antarctic regions due to its high level of calories.