Triangle A has sides of lengths 12 ,1 4, and 11 . Triangle B is similar to triangle A and has a side of length 9 . What are the possible lengths of the other two sides of triangle B?

1 Answer
Dec 21, 2017

Possible lengths of other two sides are
Case 1 : 10.5, 8.25
Case 2 : 7.7143, 7.0714
Case 3 : 9.8182, 11.4545

Explanation:

Triangles A & B are similar.
Case (1)
:.9/12=b/14=c/11
b=(9*14)/12= 10.5
c=(9*11)/12= 8.25

Possible lengths of other two sides of triangle B are
9, 10.5, 8.25

Case (2)
:.9/14=b/12=c/11
b=(9*12)/14=7.7143
c=(9 * 11)/14=7.0714

Possible lengths of other two sides of triangle B are
9, 7.7143, 7.0714

Case (3)
:.9 /11=b/12=c/14
b=(9*12)/11=9.8182
c=(9*14)/11=11.4545

Possible lengths of other two sides of triangle B are
8, 9.8182, 11.4545