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

Question

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

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Huyền Thanh 4 years 2021-07-28T01:08:33+00:00 1 Answers 28 views 0

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  1. RobertKer
    0
    2021-07-28T01:09:54+00:00
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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

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