Question

Please help dying children in africa

Answer 1

Area of ΔDEF = 6
`in^(2)`

Explanation:

In the given figure , one triangle has side = 2 inches and the other triangle has the corresponding side = 4 inches.

Triangles BAC and EDF are similar that is,

ΔBAC≈ΔEDF

Area of triangle =
`0.5* base* height`

All the sides of the second triangle is enlargened by a factor of 2.

Since in the area equation , there is multiplication of two sides, hence the area factor = 4.

Area of ΔBAC = 4
`*` ΔDEF

24
`in^(2)` = 4
`*` ΔDEF

Area of ΔDEF =
`(24)/(4)`

Area of ΔDEF = 6
`in^(2)`