Question

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 1

Answer:

bd = 4 cm

dc = 5 cm and ab = 6 cm the ac = 15/3 cm

Step-by-step explanation: please mark as brainliest and follow me

Answer 2

━━━━━━━━━━━━━━━━━━━━

✤ 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 !!

━━━━━━━━━━━━━━━━━━━━