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Fantom [35]
3 years ago
11

Question 27 Find the length of the hypotenuse. Leave answer in simplest radical form.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
6 0

Use SOHCAHTOA.  Since we are looking for the hypotenuse, you must use sine or cosine.  Since, we are given the adjacent side, use cosine.

cosx=a/h

cos45=8/h

√2/2=8/h

<em>*Cross multiply*</em>

h√2=16

<em>*Divide both sides by √2*</em>

h=16/√2

<em>*Multiply by √2/√2*</em>

h=(16√2)/2

<em>*Simplify the fraction*</em>

h=8√2

Hope this helps!!

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