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

There is given the numbers equals to 8 and DC equals to 3.2 and BE quals to 9 and-example-1
User Anirban Sarkar
by
2.8k points

1 Answer

14 votes
14 votes

Given:

Consider
image in triangle ABC and
image.

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


image


image

On cross multiplication, we get


image


image


image

Now,


image


image


image

Therefore, the length of side BC is 12.6 units.

User Bharat Chauhan
by
2.5k points