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Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Given the following information, find the length of the missing side. Leave your answer-example-1
User Will Brode
by
3.4k points

2 Answers

7 votes

Answer:

6√3

Explanation:

To find the long leg first we have to find the short leg because to find the long leg we need to use short · √3.

hypotenuse =12, short = 1/2 of hypotenuse so short leg = 6 and finally long leg = 6√3

User Collardeau
by
3.7k points
6 votes

Answer:

Long = 6√3

Explanation:

Reference angle = 30°

Hypotenuse = 12

Long = Adjacent = ?

Apply CAH:

Cos 30 = Adj/Hyp

Cos 30 = Long/12

12*cos 30 = Long

12*√3/2 = long (cos 30 = √3/2)

6√3 = long

Long = 6√3

User Lloyd Cotten
by
3.4k points