Question

Triangle A has sides of lengths `5 ,4`, and `8`. Triangle B is similar to triangle A and has a side of length `1`. What are the possible lengths of the other two sides of triangle B?

Answer 1

Possible lengths of other two sides are
Case 1 : 1.25, 2
Case 2 : 0.8, 1.6
Case 3 : 0.5, 0.625

Explanation:

Triangles A & B are similar.
Case (1)
`:.1/4=b/5=c/8`
`b=(1*5)/4= 1.25`
`c=(1*8)/4= 2`

Possible lengths of other two sides of triangle B are
`9, 1.25, 2`

Case (2)
`:.1/5=b/4=c/8`
`b=(1*4)/5=0.8`
`c=(1 * 8)/5=1.6`

Possible lengths of other two sides of triangle B are
`9, 0.8, 1.6`

Case (3)
`:.1 /8=b/4=c/5`
`b=(1*4)/8=0.5`
`c=(1*5)/8=0.625`

Possible lengths of other two sides of triangle B are
`8, 0.5, 0.625`