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14 votes
14 votes
Find the missing side lengths

Find the missing side lengths-example-1
User Pancake
by
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1 Answer

20 votes
20 votes

Answer:

u is 172 and v is 17

Explanation:

To find u:


{ \bf{ \sin( \theta) = (opposite)/(hypotenuse) }}

feed in the terms:


\sin(45 \degree) = (17)/(u) \\ \\ u = (17)/( \sin(45 \degree) ) \\ \\ u = 17 √(2)

To find v:


\cos( \theta) = (adjacent)/(hypotenuse)

feed in the terms:


\cos(45) = (v)/(u) \\ \\ v = u. \cos(45) \\ v = (17 √(2) )÷( √(2) ) \\ v = 17

User Brian Nguyen
by
3.3k points