Question

abcd is a rectangle and triangle ecd is an eqilateral triangle. If ec is parallel to db then the ratio of area of triangle edc to adbe

Answer 1

Area of Δ ECD / Area of Rectangle ABCD  = 1/4

Step-by-step explanation:

ECD is an Equialateral Triangle

=> ∠DCE = 60°

EC ║ BC

=> ∠ABD = 60°

Tan∠ABD =  AD/AB

=> Tan 60°  =  AD/AB

Let say AB = a  then CD = a

=> √3 = AD/a

=> AD = a√3

Area of Rectangle ABCD = a * a√3 = a²√3

CD = a hence side of equilateral triangle = a

Area of Δ ECD = (√3 / 4)a²

= a²√3 /4

Area of Δ ECD / Area of Rectangle ABCD  = (a²√3/4)/(a²√3)

=> Area of Δ ECD / Area of Rectangle ABCD  = 1/4

Learn more:

a triangle with base 24 cm and height 15 cm is cut out from a ...

https://brainly.in/question/13611745

in the given figure EADF is a rectangle and ABC is a rectangle ...

https://brainly.in/question/13113906