Question

Triangle A has sides of lengths `8 ,3`, and `4`. 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

The other two sides of triangle are
Case 1 : 1.875, 2.5
Case 2 : 13.3333, 6.6667
Case 3 : 10, 3.75

Explanation:

Triangles A & B are similar.
Case (1)
`:.5/8=b/3=c/4`
`b=(5*3)/8= 1.875`
`c=(5*4)/8= 2.5`

Possible lengths of other two sides of triangle B are
`5, 1.875, 2.5`

Case (2)
`:.5/3=b/8=c/4`
`b=(5*8)/3=13.3333`
`c=(5 * 4)/3=6.6667`

Possible lengths of other two sides of triangle B are
`5, 13.3333, 6.6667`

Case (3)
`:.5 /4=b/8=c/3`
`b=(5*8)/4=10`
`c=(5*3)/4=3.75`

Possible lengths of other two sides of triangle B are
`5, 10, 3.75`