Question

Please answer number 14
I already tried but don’t understand

Answer 1

• Answer:
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  `< abc = < ebc \\ < acb = < ecd \\ if \: two \: angles \: in \: the \:two \: different \: triangles \: are \: equal \: then \: the \: third \: angle \: in \: the \: triangle\: must \: be \: equal. \\ using \: pythogres \: theorum \\ ab = \sqrt( ac ^(2) - bc^(2) )\\ = \sqrt (15 ^(2) - 12 ^(2)) \\ = \sqrt( 225 - 144 )\\ = \sqrt(81) \\ ab = 9 \\ sides \: of \: similar \: triangle \: are \: propotional \\ ac / ec = dc / bc \\ 15 / x = 12 / 6\\ x = 15 * 6/ 12\\ x = 15 / 2 \\ x = 7.5 \\ so \: ec \: = 7.5 \\ you \: can \: check \: this \: by \: applying \: pythogores \: theorum. \\ i \: hope \: this \: helps`