Question

the ratio of corresponding sides of similar triangles is 3:5; then find the ratio of their areas ​

Answer 1

Answer:

Solution

Let the ratio of corresponding sides of similar triangles is S  

1

​  

:S  

2

​  

=3:5

since the triangles are similar then

A  

2

​  

 

A  

1

​  

 

​  

=(  

S  

2

​  

 

S  

1

​  

 

​  

)  

2

=(  

5

3

​  

)  

2

=  

16

9

​  

 

∴ the ratio of the area is 9:16

Step-by-step explanation: