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What is BD?

In triangle ABC, the length of side AB is 12 and the length of side AD is 27. The line AC started from point A and cuts the side BD a point C. The length of BC is x and the length of CD is x + 5.

BD =

What Is BD In Triangle ABC The Length Of Side AB Is 12 And The Length Of Side AD Is 27 The Line AC Started From Point A And Cuts The Side BD A Point C The Lengt class=

Sagot :

The length of side BD is; 13.

Length measure in a triangle

From the given diagram;

  • It follows that the ratio which holds is;

12 : x = 27 : x + 5

12/x = 27/x+5

  • By cross product;

27x = 12x +60

  • subtract 12x from both sides

15x = 60

  • Divide both sides by 15

x = 4.

On this note, the length of the line BD is;

= BC + CD

= 4 + (4 + 5)

= 4 + (9)

= 13

Therefore, the length of the line BD is 13.

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