Question

In the given figure DE//BC .Which of the following is true.
And prove tha it is true ​

Answer 1

Answer:

Explanation:

Given: DB=7.2cm,AE=1.8cm and EC=5.4cm and DE∥BC.

By basic proportionality theorem which states that "if a line is drawn parallel to one side of a triangle to other sides in distinct points, then the other two sides are divided in the same ratio", we write:

 

DB

AD

​

=  

AC

AE

​

 

7.2

AD

​

=  

5.4

1.8

​

 

AD=  

5.4

7.2×1.8

​

 

AD=  

10

24

​

 

⟹AD=2.4 cm

Answer 2

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(c) x = a y/a + b

AE/AC=DE/BC = a/a + b = x/y

X=ay/(a + b)