Triangle A has sides of lengths #39 #, #45 #, and #54 #. Triangle B is similar to triangle A and has a side of length #3 #. What are the possible lengths of the other two sides of triangle B?
1 Answer
Feb 28, 2016
pair 1: x=39, y=45, z=54 and a=13/5, b=3, c=18/5
pair 2: x=39, y=45, z=54 and a=3, b=45/13, c=54/13
pair 3: x=39, y=45, z=54 and a=13/6, b=5/2, c=3
Explanation:
Use ratio and proportion to solve for the sides
First possibility
For triangle A , let sides x=39, y=45, z=54
For triangle B, let sides a=13/5, b=3, c=18/5
second possibility
For triangle A , let sides x=39, y=45, z=54
For triangle B, let sides a=3, b=45/13, c=54/13
third possibility
For triangle A , let sides x=39, y=45, z=54
For triangle B, let sides a=13/6, b=5/2, c=3
God bless...I hope the explanation is useful