Question

urgent class 10 maths​

Answer 1

Answer:

9:4

Step-by-step explanation:

In triangle ABC,

Since it is an equilateral traingle.

         AB =BC = AC

Also in triangle BDE,

 

              BD = DE = BE

Also it is given that,

                    BD = 2/3 BC

Also we know area of equilateral triangle 

    area = (root3/4) * a^2

     

in triangle ABC

         Area                          A1 = root3/4 * BC^2

Also, in triangle BDE,

                   Area                 A2 = root3/4 * BD^2

Ratio of the areas 

                         R = A1/A2

                         R = BC^2/BD^2

     Putting the value of BD

           

R = BC^2/ (2/3BC)^2

           R = 9/4

Thus the ratio of the areas of triangle to area of triangle BDE

R = 9:4