Triangle A has sides of lengths $81$ $81$ , $45$ $45$ , and $66$ $66$ . Triangle B is similar to triangle A and has a side of length $7$ $7$ . What are the possible lengths of the other two sides of triangle B?

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Answer 1 · 2017-12-21T11:59:39

Length of other two sides are
Case 1 : 3.8889, 5.7037
Case 2 : 12.6, 10.2667
Case 3 : 4.7727, 8.5909

Triangles A & B are similar.
Case (1)
$:.7/81=b/45=c/66$
$b=(7*45)/81= 3.8889$
$c=(7*66)/81= 5.7037$

Possible lengths of other two sides of triangle B are
$7, 3.8889, 5.7037$

Case (2)
$:.7/45=b/81=c/66$
$b=(7*81)/45=12.6$
$c=(7*66)/45=10.2667$

Possible lengths of other two sides of triangle B are
$7, 12.6, 10.2667$

Case (3)
$:.7/66=b/45=c/81$
$b=(7*45)/66=4.7727$
$c=(7*81)/66=8.5909$

Possible lengths of other two sides of triangle B are
$7, 4.7727, 8.5909$

Triangle A has sides of lengths 81 8181 , 45 4545 , and 66 6666 . Triangle B is similar to triangle A and has a side of length 7 77 . What are the possible lengths of the other two sides of triangle B?