Congruence and Similarity question

ABC = AED

Given that AD =3cm, AE = 5cm and EC = 2cm, calculate

Area of triangle AED / Area of triangle ABC

ABC = AED

Given that AD =3cm, AE = 5cm and EC = 2cm, calculate

Area of triangle AED / Area of triangle ABC

Perhaps a picture or a model will be more helpful.

I am still trying to figure out how the whole thing looks like.

Hope this helps

Hi,

Since triangle ABC is similar to AED, we consider the ratio AD : AC which is 3 : 7.

With this, I'm sure you can proceed to find ratio of their areas.

Thanks!

Cheers,
Wen Shih

so, If the ration of the sides is 3 : 7, the ratio of areas would be 3^2 : 7^2.

and it'll be 9 / 49 ?

Btw, when do i use this formula? A1 / A2 = (b1 / b2)^2 ?

so, If the ration of the sides is 3 : 7, the ratio of areas would be 3^2 : 7^2.

and it'll be 9 / 49 ?

Btw, when do i use this formula? A1 / A2 = (b1 / b2)^2 ?

Hi,

Good.

When you need to compare areas of similar figures, like in the question we saw.

Thanks!

Cheers,
Wen Shih