Question

Triangles ABC and DEF are similar. Find side BC

Answer 1

BC = 1
`(1)/(5)`

Explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

`(BC)/(EF)` =
`(AB)/(DE)` ( substitute values )

`(BC)/(4)` =
`((3)/(4) )/((5)/(2) )` ( 2
`(1)/(2)` =
`(5)/(2)` )

cross- multiply

`(5)/(2)` BC = 4 ×
`(3)/(4)` = 3 ( multiply both sides by 2 to clear the fraction )

5 BC = 6 ( divide both sides by 5 )

BC =
`(6)/(5)` = 1
`(1)/(5)`