QUESTION: Can you form a triangle from sticks of lengths:

• A. 5cm, 8cm, 11cm
• B. 6cm, 4cm, 9cm
• C. 4cm,3cm,7cm​

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ANSWERS:

1. Yes
2. Yes
3. No

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TRIANGLE INEQUALITY THEOREM

• It states that the sum of the measures of two sides of a triangle is greater than the measure of the third side.
• It must satisfy ALL 3 conditions:

1. x + y > z
2. y + z > x
3. x + z > y

CHECKING THE ANSWERS

1. 5cm, 8cm, 11cm

• Let's assume 5 is x, 8 is y, and 11 is z.
• 5 + 8 = 13 > 11
• 8 + 11 = 19 > 5
• 5 + 11 = 16 > 8
• Since all our answers are greater than the third side, then the measuremens represent a traingle.

   2. 6cm, 4cm, 9cm

• Let's assume 6 is x, 4 is y, and 9 is z.
• 6 + 4 = 10 > 9
• 4 + 9 = 13 > 6
• 6 + 9 = 15 > 4
• Since all our answers are greater than the third side, then the measuremens represent a traingle.

   3. 4cm, 3cm, 7cm​

• Let's assume 4 is x, 3 is y, and 7 is z.
• 4 + 3 = 7 = 7
• 3 + 7 = 10 > 4
• 4 + 7 = 11 > 3

• One of them has a sum equal to the third side. It needs to be GREATER than the third side. It does not satisfy one of the 3 conditions. Therefore, the measurement does not represent a triangle.

=) hope this helps / sana makatulong

you may also refer to:

• brainly.ph/question/15631477
• brainly.ph/question/16219183
• brainly.ph/question/27704267