Question

hi guys can you please solve this problem.​

Answer 1

Answer:

1/9

Step-by-step explanation:

Since AB/ DE = BC/EF = AC/DF = 1/3

=> By SSS, Triangle ABC ~ Triangle DEF

Since the ratio area of two similar triangles is equal to the ratio of corresponding sides.

This implies,

Area of triangle ABC/ Area of triangle DEF = (1/3)² =1/9

Hope you got it!

Answer 2

by Theorem:

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides. This proves that the ratio of the area of two similar triangles is proportional to the squares of the corresponding sides of both the triangles.

area (∆ABC)/area (∆DEF)=(20/10)²

So the answer is 4:1.