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Please help, I beg of y'all

FIND BD -

Please help, I beg of y'all FIND BD --example-1
User Moghwan
by
6.6k points

1 Answer

6 votes

9514 1404 393

Answer:

14 units

Explanation:

The angle bisector divides the sides proportionally.

BD/BA = CD/CA

(x+4)/8 = (2x+1)/12

3(x +4) = 2(2x +1) . . . . . multiply by 24 (the least common denominator)

3x +12 = 4x +2 . . . . . . . eliminate parentheses using the distributive property

12 = x +2 . . . . . . . subtract 3x

10 = x . . . . . . . . . subtract 2

Then the length of BD is ...

BD = x +4

BD = 10 +4 . . . . substitute the value of x

BD = 14

User ChaturaM
by
6.1k points
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