Triangle A has sides of lengths $8, 3$ $8 ,3$ , and $4$ $4$ . Triangle B is similar to triangle A and has a side of length $5$ $5$ . What are the possible lengths of the other two sides of triangle B?

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Answer 1 · 2017-12-22T09:13:18

The other two sides of triangle are
Case 1 : 1.875, 2.5
Case 2 : 13.3333, 6.6667
Case 3 : 10, 3.75

Triangles A & B are similar.
Case (1)
$:.5/8=b/3=c/4$
$b=(5*3)/8= 1.875$
$c=(5*4)/8= 2.5$

Possible lengths of other two sides of triangle B are
$5, 1.875, 2.5$

Case (2)
$:.5/3=b/8=c/4$
$b=(5*8)/3=13.3333$
$c=(5 * 4)/3=6.6667$

Possible lengths of other two sides of triangle B are
$5, 13.3333, 6.6667$

Case (3)
$:.5 /4=b/8=c/3$
$b=(5*8)/4=10$
$c=(5*3)/4=3.75$

Possible lengths of other two sides of triangle B are
$5, 10, 3.75$

Triangle A has sides of lengths 8 ,3 8,38 ,3 , and 4 44 . Triangle B is similar to triangle A and has a side of length 5 55 . What are the possible lengths of the other two sides of triangle B?