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The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length of the shorter leg?

The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length-example-1
User Delannoyk
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1 Answer

5 votes

Answer:

The length of the shorter leg 2√3 → answer (B)

Explanation:

∵ The triangle is 30° - 60° - 90°

∴ There is the ratio between its sides

∴ hypotenuse : middle side : shortest side = 2 : √3 : 1

∵ hypotenuse = 4√3

∴ The shortest side = 1/2 (4√3) = 2√3

User Ian Gregory
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