Question

Triangle A has sides of lengths `32`, `40`, and `16`. Triangle B is similar to triangle A and has a side of length `8`. What are the possible lengths of the other two sides of triangle B?

Answer 1

Three possible lengths of other two sides are `(16,20) or(4,10) or (3.2,6.4)` unit each

Explanation:

The ratio of sides of triangle A is `16/8:32/8:40/8 or 2:4:5`
The ratio of sides of similar triangle B must have the same ratio.
If `8` be the lowest side then other two sides are `4*8/2=16 and 5*8/2=20` unit
If `8` be the middle one then other two sides are `2*8/4=4 and 5*8/4=10` unit
if `8` be the biggest side then other two sides are `2*8/5=3.2 and 4*8/5=6.4`unit
Hence three possible lengths of other two sides are `(16,20) or (4,10),or (3.2,6.4)` unit each [Ans]