Question

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

set 1: 4 cm, 5 cm, 6 cm
set 2: 8 in., 12 in., 20 in.
set 3: 10 mm, 20 mm, 30 mm
set 4: 12 ft, 16 ft, 20 ft

set 1
set 2
set 3
set 4

Explanation:

State the condition for a right triangle

$$ a^2 + b^2 = c^2 \quad (\text{where } c \text{ is the longest side}) $$

Test each given set of side lengths

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Identify the correct set

$$ 12^2 + 16^2 = 20^2 \implies \text{Set 4 forms a right triangle} $$

Answer:

• Set 1
• Set 2
• Set 3
• Set 4 (Correct answer)