In a ΔABC, it is given that AD is the internal bisector of ∠A. If B

1.	In a ΔABC, it is given that AD is the internal bisector of ∠A. If BD = 4 cm, DC = 5 cm and AB = 6 cm, then AC = ?
Answer» ━━━━━━━━━━━━━━━━━━━━ ✤ Required Answer: ✒ GiveN: AD is the angle bisector of ∠A BD = 4 cm DC = 5 cm AB = 6 cm ✒ To FIND: AC = ? ━━━━━━━━━━━━━━━━━━━━ ✤ How to Solve? We can SEE here, that INTERNAL bisector of an Angle is given, and we have to find a side of the triangle. For this, LET's know about Internal angle bisector theoram. $\large{ \bf{Theoram:}}$ ➤ The internal angle bisector of an triangle from any vertex divides the opposite side in the ratio of the side containing the angle which was bisected. ✒ So, By using this theoram, let's solve the question. ━━━━━━━━━━━━━━━━━━━━ ✤ Solution: ✒ REFER to the attachment... We have, the required bisected angle ∠A. Then, opposite side of ∠A is BC. According to theoram, ⇛ AB/AC = BD/DC We have, AB = 6 cm BD = 4 cm DC = 5 cm AC = ? [let AC be x] By using the relation, ⇛ 6/x = 4/5 ⇛ x = 6×5 /4 cm ⇛ x = 7.5 cm ✒ Required Length of AC = 7.5 cm Hence, Solved !! ━━━━━━━━━━━━━━━━━━━━

In a ΔABC, it is given that AD is the internal bisector of ∠A. If BD = 4 cm, DC = 5 cm and AB = 6 cm, then AC = ?

Answer»

━━━━━━━━━━━━━━━━━━━━

✤ Required Answer:

✒ GiveN:

AD is the angle bisector of ∠A
BD = 4 cm
DC = 5 cm
AB = 6 cm

✒ To FIND:

AC = ?

━━━━━━━━━━━━━━━━━━━━

✤ How to Solve?

We can SEE here, that INTERNAL bisector of an Angle is given, and we have to find a side of the triangle. For this, LET's know about Internal angle bisector theoram.

$\large{ \bf{Theoram:}}$

➤ The internal angle bisector of an triangle from any vertex divides the opposite side in the ratio of the side containing the angle which was bisected.

✒ So, By using this theoram, let's solve the question.

━━━━━━━━━━━━━━━━━━━━

✤ Solution:

✒ REFER to the attachment...

We have, the required bisected angle ∠A. Then, opposite side of ∠A is BC.

According to theoram,

⇛ AB/AC = BD/DC

We have,

AB = 6 cm
BD = 4 cm
DC = 5 cm
AC = ? [let AC be x]

By using the relation,

⇛ 6/x = 4/5

⇛ x = 6×5 /4 cm

⇛ x = 7.5 cm

✒ Required Length of AC = 7.5 cm

Hence, Solved !!

━━━━━━━━━━━━━━━━━━━━