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6. The longest side of a 30° -60° - 90° triangle measures 8. What is the length of the

longer leg?

User Vomi
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1 Answer

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4x the square root of three. A 30 60 90 right triangles’ legs are in a ratio of sqrt3/2:1/2:1. Since 1 is the part of the ratio representing the longest side, and our longest side is 8, our new ratio for our 30,60 90 triangle is 4xsqrt3:4:8. Since 4xsqrt3 is the longest leg (leg of length 4 being the other), 4xsqrt3 is the longest leg
User Metacubed
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