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43 votes
43 votes
Solve for x and y. State answers in simplified radical form, please.

Solve for x and y. State answers in simplified radical form, please.-example-1
User Boris Kuzevanov
by
2.8k points

1 Answer

14 votes
14 votes

Answer:

x=8√3 units

y=4√3 units

Explanation:

Since the given right triangle happens to be a 30-60-90 triangle, we will use the following rules:

Hypotenuse = 2s (x)

Longer Leg = s√3 (12)

Shorter Leg = s (y)

Since the longer leg is given to us as 12 units, we can then solve for the shorter leg:

12 = s√3

12/√3 = s

(12√3)/3 = s

4√3 = s

Therefore, our hypotenuse is 2(4√3) = 8√3 units

Thus, x=8√3 units and y=4√3 units

Solve for x and y. State answers in simplified radical form, please.-example-1
User Tabia
by
2.8k points
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