Math, asked by rejanijohn303, 9 months ago

in triangle ABC angle BAD angle CAD, AB =6cm , AC = 8cm find BD :DC​

Answers

Answered by sksingh89
46

Answer:

BD=43 CD 67

Step-by-step explanation:

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Answered by amitnrw
1

BD : DC = 3 : 4 if in ΔABC ∠BAD = ∠CAD and AB =6cm , AC = 8cm

Given :  triangle ABC

∠BAD = ∠CAD

AB = 6 cm

AC = 8 cm

To Find :  BD :DC​

Solution:

Triangle Angle Bisector Theorem

"A bisector of an angle of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle."

∠BAD = ∠CAD

=> AD is bisector of ∠BAC

Using triangle angle bisector theorem :

AB/ AC =  BD/ DC

=> 6/8  = BD/DC

=> 3/4  = BD/DC

=> BD : DC = 3 : 4

in triangle ABC angle BAD  = angle CAD, AB =6cm , AC = 8cm then  BD :DC is  3 : 4

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