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In ABC, AD is the angle bisector of /_BAC.

What is BD?
Enter your answer as a decimal,
? in.​

In ABC, AD is the angle bisector of /_BAC. What is BD? Enter your answer as a decimal-example-1
User Zenoh
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2 Answers

2 votes
It’s 1.8 also Subscribe to XBooDeadInsideX -_- on yt
User Niels Billen
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6 votes

Answer:

1.8

Explanation:

ADC is a right angled triangle. So is ADB.

For right angled triangle ADC,


{ad}^(2) + {dc}^(2) = {ac}^(2) \\ {x}^(2) + {3}^(2) = {4}^(2) \\ {x}^(2) + 9 = 16 \\ {x}^(2) = 16 - 9 = 7 \\ x = √(7)

For right angled triangle ADB,


{ad}^(2) + {db}^(2) = {ab}^(2) \\ 7 + {y}^(2) = {3.2}^(2) \\ 7 + {y}^(2) = 10.24 \\ {y}^(2) = 10.24 - 7 \\ {y}^(2) = 3.24 \\ y = √(3.24) \\ y = 1.8

User Romeo Valentin
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