Question

Δ ABC -  Δ XYZ. If area of  Δ ABC is 9cm² and area of  Δ XYZ is 16cm² and if BC= 2.1cm, find the length of YZ. 

Answer 1

Given : Δ ABC ∼ Δ XYZ

To find : YZ

Sol : `("Ar" triangle "ABC")/("Ar" triangle  "XYZ") = ("BC"^2)/("YZ"^2)`

[The ration of areas of two similar triangle is equal to the ratio of square of their corresponding sides.]

`9/16 = (2.1)^2/"YZ"^2`

Taking square root both sides ,

`3/4 = 2.1/"YZ"`

YZ = `(2.1 xx 4)/3`

YZ = 2.8 cm