∆ABC and ∆BDE are twosumilar triangle if D is the midpoint of BC of ∆ABC and ∆ BDE is
Answers
Answered by
1
Answer:
i think it is helpful for you
Attachments:
Answered by
24
∆ABC and ∆BDE are twosumilar triangle if D is the midpoint of BC of ∆ABC and ∆ BDE is ¿¿
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 !!❤
Attachments:
Similar questions