Oscar05
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​ AD​ , BD , and CD are angle bisectors of the sides of △ABC . BE=12 m and BD=20 m.

What is DG ?

AD BD and CD are angle bisectors of the sides of ABC BE12 m and BD20 m What is DG class=

Respuesta :

The answer is 16

And also , can people please stop posting did you get the answer yet, just so you could get the  points.  They only take two answers, and that's a waste of somebody who could've answered or helped.

boffeemadrid

Answer:

DG=16 m

Step-by-step explanation:

Given: AD, BD and Cd are the angle bisectors of the sides of ΔABC and B=12m and BD=20m.

To find: The value of DG.

Solution: It is given that AD, BD and Cd are the angle bisectors of the sides of ΔABC and B=12m and BD=20m, then from the ΔBED, we have

[tex](BD)^{2}=(BE)^{2}+(ED)^{2}[/tex]

Substituting the given values, we have

[tex](20)^2=(12)^2+(ED)^2[/tex]

[tex]400=144=(ED)^2[/tex]

[tex]400-144=(ED)^2[/tex]

[tex]256=(ED)^2[/tex]

[tex]16 m=ED[/tex]

Thus, the value of ED is 16m.

Now, we know that the distance from the mid points of the sides of the given triangle to the circumcenter D are equal, thus

ED=DG

ED=DG=16

Therefore, the value of DG is 16m.

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