Question

select the correct answer.
based on these segment lengths, which group of segments can form a triangle?

3, 10, 14
8, 7, 13
3, 2, 5
20, 7, 13

Explanation:

State the theorem

Using the Triangle Inequality Theorem knowledge point

$$ a + b > c $$

Test the first option

Using the Triangle Inequality Theorem knowledge point

$$
LATEXBLOCK0
$$

Test the second option

Using the Triangle Inequality Theorem knowledge point

$$
LATEXBLOCK1
$$

Test the third option

Using the Triangle Inequality Theorem knowledge point

$$
LATEXBLOCK2
$$

Test the fourth option

Using the Triangle Inequality Theorem knowledge point

$$
LATEXBLOCK3
$$

Answer:

• (A) 3, 10, 14
• (B) 8, 7, 13 (Correct answer)
• (C) 3, 2, 5
• (D) 20, 7, 13