Question

Triangle A has sides of lengths `35`, `25`, and `48`. 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

The other two sides of triangle are
Case 1 : 9.8, 10.64
Case 2 : 5, 7.6
Case 3 : 4.6053, 6.4474

Explanation:

Triangles A & B are similar.
Case (1)
`:.7/25=b/35=c/38`
`b=(7*35)/25= 9.8`
`c=(7*38)/25= 10.64`

Possible lengths of other two sides of triangle B are
`7, 9.8, 10.64`

Case (2)
`:.7/35=b/25=c/38`
`b=(7*25)/35=5`
`c=(7 * 38)/35=7.6`

Possible lengths of other two sides of triangle B are
`7, 5, 7.6`

Case (3)
`:.7 /38=b/25=c/35`
`b=(7*25)/38=4.6053`
`c=(7*35)/38=6.4474`

Possible lengths of other two sides of triangle B are
`7, 4.6053, 6.4474`