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2 years ago

Please help me find BD

Mathematics

1 answer:

Tanzania [10]2 years ago

8 0

9514 1404 393

Answer:

14 units

Step-by-step explanation:

The angle bisector divides the sides proportionally, so you have ...

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

3(x +4) = 2(2x +1) . . . . . . multiply by 24

3x +12 = 4x +2 . . . . . . . . eliminate parentheses

10 = x . . . . . . . . . . . subtract (3x+2)

Then BD = x+4 = 10 +4.

The length of BD is 14 units.

_____

<em>Additional comment</em>

The "triangle" cannot exist, as the side lengths are shown as 8, 12, and 35. The long side is too long. Nice math; bad geometry.

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