Question

There is given the numbers equals to 8 and DC equals to 3.2 and BE quals to 9 and find BC ​

Answer 1

Given:

Consider
`AB\parallel DE` in triangle ABC and
`AD=8,DC=3.2,BE=9`.

To find:

The length of BC.

Solution:

Basic proportionality theorem (BPT): If a line intersect the two sides of triangle and parallel to the third side, then that line intersects the other two sides proportionally.

Using Basic proportionality theorem, we get

`(AD)/(DC)=(BE)/(EC)`

`(8)/(3.2)=(9)/(EC)`

On cross multiplication, we get

`8* EC=9* 3.2`

`EC=(28.8)/(8)`

`EC=3.6`

Now,

`BC=BE+EC`

`BC=9+3.6`

`BC=12.6`

Therefore, the length of side BC is 12.6 units.