Question

NEED HELP, STAT! 100 POINTS

Which three lengths can be the lengths of the sides of a triangle? Choose all that apply.


2 in, 3in, 6 in

13 in, 14 in, 15 in

4 in, 6 in, 9in

22 in, 11 in, 12 in

Answer 1

• Option B
• Option C
• Option D

Explanation:

The rule of how to decide on a side of triangle is to:

• Check if the first two sides are greater than the third.
• check the last two sides that must be greater than the first.
• Check the first and the third side that must be greater than the second.

Let's verify all the options given so that we can confirm our answer.

Option A:

• 2 + 3 > 6
• ⇒ 5 > 6 (False; No further check is required)

Option B:

• 13 + 14 > 15
• ⇒ 27 > 15 (True)
• ⇒ 13 + 15 > 14
• ⇒ 28 > 14 (True)
• ⇒ 14 + 15 > 13
• ⇒ 29 > 13 (True)

Option C:

• 4 + 6 > 9
• ⇒ 10 > 9 (True)
• ⇒ 6 + 9 > 4
• ⇒ 15 > 4 (True)
• ⇒ 4 + 9 > 6
• ⇒ 13 > 6 (True)

Option D:

• 22 + 11 > 12
• ⇒ 33 > 12 (True)
• ⇒ 22 + 12 > 11
• ⇒ 34 > 11 (True)
• ⇒ 11 + 12 > 22
• ⇒ 23 > 22 (True)

We can now confirm that Option B, C, and D are correct.