Question

Triangle A has sides of lengths `36 ,24`, and `16`. Triangle B is similar to triangle A and has a side of length `7`. What are the possible lengths of the other two sides of triangle B?

Answer 1

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

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) :}#