In ΔABC, the bisector of ∠C intersects AB in F. If 2AF=3FB and AC=7.2 find BC.
Answers
Answered by
7
Answer:
4.8
Step-by-step explanation:
2AF = 3FB (Given)
AC = 7.2 (Given)
Bisector of ∠C intersects AB in = F (Given)
According to the angle bisector theorem,
AF/FB =AC/BC or BC =AF/ FB. AC
Since 2AF=3FB, therefore AF/FB =2/3
AF/FB = AC/BC
3/2 = 7.2/BC
BC = 7.2 × 2/3
BC = 4.8
Thus, the length of BC is 4.8
Answered by
2
Answer:
Step-by-step explanation:
2AF = 3FB (Given)
AC = 7.2 (Given)
Bisector of ∠C intersects AB in = F (Given)
According to the angle bisector theorem,
AF/FB =AC/BC or BC =AF/ FB. AC
Since 2AF=3FB, therefore AF/FB =2/3
AF/FB = AC/BC
3/2 = 7.2/BC
BC = 7.2 × 2/3
BC = 4.8
Thus, the length of BC is 4.8
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