Triangle A has sides of lengths 36 ,24 36,24, and 16 16. 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?

1 Answer
Alan P.
Mar 18, 2016

Sides ==
color(white)("XXX"){7,14/3,28/9}XXX{7,143,289} or
color(white)("XXX"){21/2,7,14/3}XXX{212,7,143} or
color(white)("XXX"){63/4,21/2,7}XXX{634,212,7}

Explanation:

{: ("Triangle A","||","Side P","|","Side Q","|","Side R"), (,"||",36,"|",24,"|",16), ("Triangle B",,,,,,), (,"||",7,"|",7/36xx24=14/3,"|",7/36xx16=28/9), (,"||",7/24xx36=21/2,"|",7,"|",7/24xx16=14/3), (,"||",7/16xx36=63/4,"|",7/16xx24=21/2,"|",7) :}

Related questions
See all questions in Triangle Similarity
Impact of this question
1831 views around the world
You can reuse this answer
Creative Commons License