Triangle A has sides of lengths #48 ,36 #, and #54 #. Triangle B is similar to triangle A and has a side of length #14 #. What are the possible lengths of the other two sides of triangle B?

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Answer 1 · 2018-08-04T02:45:02

#color(crimson)("Possible lengths of other two sides of triangle b are "#

#color(indigo)((i) 28/3, 63/4,color(chocolate)((ii) 56/3, 21, color(blue)((iii) 112/9, 28/3#

#"in " Delta A : a = 48, b = 36, c = 54, " in " Delta B : " one side " = 14#

#"When side 14 of triangle B corresponds to side a of triangle A"#,

#"Sides of " Delta B " are 14, (14/48)*36, (14/48)*54 = 14, 28/3, 63/4#

#"When side 14 of triangle B corresponds to side b of triangle B"#,

#"Sides of " Delta B " are (14/36)*48, 14, (14/36)*54 = 56/3, 14, 21#

#"When side 14 of triangle B corresponds to side c of triangle B"#,

#"Sides of " Delta B " are (14/54)*48, (14/54)*36, 14 =112/9 28/3, 14#