Question

which are the possible side lengths of a triangle?

3 cm, 5 cm, 9 cm
4 cm, 8 cm, 10 cm
6 cm, 9 cm, 17 cm
8 cm, 10 cm, 18 cm

Explanation:

State the triangle inequality condition

$$ a + b > c \quad (\text{where } a \le b \le c) $$

Test each option

$$
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$$

Identify the correct choice

$$ 4\text{ cm}, 8\text{ cm}, 10\text{ cm} $$

Answer:

• (A) 3 cm, 5 cm, 9 cm
• (B) 4 cm, 8 cm, 10 cm (Correct answer)
• (C) 6 cm, 9 cm, 17 cm
• (D) 8 cm, 10 cm, 18 cm