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

1 Answer
sankarankalyanam
Aug 4, 2018

color(crimson)("Possible lengths of other two sides of triangle b are "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(i)283,634,(ii)563,21,(iii)1129,283

Explanation:

"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

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