Question

In A ABC, PQ || BC, A-P-B, A-Q-C, AP= 2.4
cm, PB=7.2 cm, QC=5.4 cm, then find AO
1.8 cm
1.6 cm
2.2 cm
1.4 cm​

Answer 1

CORRECT QUESTION:-

• In △ABC, PQ || BC, A-P-B, A-Q-C, AP= 2.4cm, PB=7.2 cm, QC=5.4 cm, then find AQ.

ANSWER:-

• AQ = 1.8 cm

GIVEN:-

• ABC is a triangle.
• PQ || BC
• A-P-B, A-Q-C.
• AP = 2.4cm, PB = 7.2cm, QC = 5.4cm.

TO FIND:-

• Value of AQ.

SOLUTION:-

→ PQ || BC

→ ∠APQ = ∠ABC

→ ∠AQP = ∠ACB (corresponding angle are same)

∴ △APQ∼△ABC(AA criteria)

According to the question:-

Hence, AP/AB = AQ/AC

⇒ AB/AP = AC/AQ

⇒ AB/AP - 1 = AC/AQ - 1

⇒ PB/AP = QC/AQ

⇒ 7.2/2.4 = 5.4/AQ

⇒ AQ = 1.8cm

Hence,

• AQ = 1.8cm