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May 28th, 2016, 02:55 AM   #1
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find x show steps

find the value
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May 28th, 2016, 09:33 AM   #2
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$\displaystyle x=33$

Use the law of sines and product-to-sum identity.
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May 28th, 2016, 09:15 PM   #3
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Also, triangle ABE is isosceles (AE = BE) is triangle BCE.

Let height BD = 1; then:
BC = ~1.1924, AB = ~1.8361 and AC = ~2.1893
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May 30th, 2016, 09:26 AM   #4
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The problem is considered here. There are slips in some of the proposed answers given there, but the short solution dated September 17, 2010 is correct. The steps used are not explained in detail, but it's not too difficult to provide proper justifications for them.
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