Question

Triangle A has sides of lengths `48 ,24`, and `27`. Triangle B is similar to triangle A and has a side of length `5`. What are the possible lengths of the other two sides of triangle B?

Answer 1

Possible lengths of the triangle B are
Case (1) : 5, 5.625, 10

Case (2) : 5, 4.44, 8.89

Are (3) : 5, 2.5, 2.8125

Explanation:

Triangles A & B are similar.
Case (1)
`:.5/24=b/27=c/48`
`b=(5*27)/24= 5.625`
`c=(5*48)/24= 10`

Possible lengths of other two sides of triangle B are
`5, 5.625, 10`

Case (2)
`:.5/27=b/27=c/48`
`b=(5*24)/27=4.44`
`c=(5*48)/27=8.89`

Possible lengths of other two sides of triangle B are
`5, 4.44, 8.89`

Case (3)
`:.5/48=b/24=c/27`
`b=(5*24)/48=2.5`
`c=(5*27)/48=2.8125`

Possible lengths of other two sides of triangle B are
`5, 2.5, 2.8125`