Triangle A has sides of lengths #18 #, #12 #, and #21 #. Triangle B is similar to triangle A and has a side of length #24 #. What are the possible lengths of the other two sides of triangle B?

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Answer 1 · 2018-06-19T17:10:37

#Delta (24, a, b)#

#Delta (24, c, d)#

#Delta (24, e, f)#

#{18/24 = 12/a = 21/b} or #
#{18/c = 12/24 = 21/d} or {18/e = 12/f = 21/24}#

#a = 24 * 12/18 = 16#

#b = 24 * 21/18 = 28#

#c = 18 * 24/12 = 36#

#d = 24 * 21/12 = 42#

#e = 18 * 24/21 = 144/7#

#f = 12 * 24/21 = 96/7#