Question

if triangle abc similar triangles to triangle def ar️abc=12cm² ab=4cm and de=12cm find ar def please help ​

Answer 1

Answer:

Given,

ΔDEF∼ΔABC and

DE:AB=2:3

We know that,

Ratio of area of similar triangles in equal to the ratio of square of its corresponding side

∴

ar(ΔABC

ar(ΔDEF)

=

(AB)

2

(DE)

2

⇒

ar(ΔABC)

44

=(

3

2

)

2

⇒ar(ΔABC)=

4

44×9

∴ar(ΔABC)=99 cm

2