Question

Method required :

If ABC and BDE are two equilateral triangles such that D is the mid point of BC, then find ar(∆ABC) : ar(∆BDE)
[ Please attach a figure with it ]

Answer 1

therefore ratio is 1:4 and pls. mark me as the brainliest pls.

Answer 2

Heya , yena!!!

ΔABC and ΔBDE are equilateral triangles.


Let a be the side of ΔABC

Since D is midpoint of BC

So the side of equilateral ΔBDE = a / 2

Area of equilateral Δ = √3 / 4 (side)2

Area of ΔABC = √3 / 4 a²........( 1 )

Area of ΔBDE = √3 / 4 (a/2)²

= √3 / 4 = a² / 4

Putting value of √3 / 4 × a² ....... (from eq. 1)

Area of ΔBDE = 1 / 4 Area of ΔABC

Area of ΔABC / Area of ΔBDE = 4 / 1

Hope this will help you !!