What's the value of the angle x in the figure below?For reference: (Figure without scale ) A K = 8 , J C = 4 , B E = 10 (Answer: 53 o ))

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What&#039;s the value of the angle x in the figure below?For reference: (Figure without scale )   A  K  =  8  ,  J  C  =  4  ,  B  E  =  10 (Answer:       53    o    ))

LilsGroolonip86 · Accepted Answer

Step 1You have found that C is midpoint of AE. Construct the median CD with D on AB.Since CD joins the midpoints of two sides of   △  A  B  E, it is parallel to the third side BE and is half its length.Step 2  △  C  J  D turns out to be a   3  −  4  −  5 right triangle with   x  =  ∠  J  D  C  =      sin          −      1        ⁡      4    5    ≈      53    ∘

easternerjx · Accepted Answer

Step 1By trigonometry:                     (1)                    10        =                              2            b            c            sin            ⁡            (                                          ∠                A                            2                        )                                b            −            c                                  ⟺                5        (        b        −        c        )        =        b        c        .        sin        ⁡        (                              ∠            A                    2                )                                (2)                    b        .        sin        ⁡        (        A        )        =        8                                (3)                    c        .        sin        ⁡        (        A        )        =        4            Step 2(2) and (3) and (1):  20      sin    2    ⁡  (  ∠  A  )  =  sin  ⁡  (  ∠  A  )  sin  ⁡  (            ∠      A        2    )  ⋅  32      ⟹    5  sin  ⁡  (  ∠  A  )  =  8  sin  ⁡  (            ∠      A        2    )  5  cos  ⁡  (            ∠      A        2    )  =  4    ⟹              ∠      A        2    =      37    ∘    ∴  x  =      53    ∘

What's the value of the angle x in the figure below? For reference: (Figure without scale ) AK=8, JC=4, BE=10.

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