Question

in triangle ABC , PQ is parallel to BC , if AB = 4AP and AQ = 4 then AC = how much​

Answer 1

Given :  PQ is parallel to BC , if AB = 4AP and AQ = 4

To Find : AC  

Solution:

PQ || BC

ΔABC  and ΔAPQ

∠A = ∠A   common

∠B = ∠P    ( corresponding angles)

∠C = ∠Q    ( corresponding angles)

=> ΔABC  ≈ ΔAPQ

=> AB/AP  = AC/ AQ

=> 4AP/AP  = AC/4

=> 4 = AC/4

=> AC = 4 x 4

=> AC = 16

Learn More:

In triangle ABC, seg DE || SEG BC. if twice area of triangle ADE ...

brainly.in/question/4599623

In the given figure, If DE || BC and AD : DB = 1:2 then Area of ∆ADE ...

brainly.in/question/17155687

Answer 2

$\huge \cal | ➶︎ \colorbox{seagreen}{ANSWER} \ ➶︎|$

$\rm\: PQ \: || \: BC$

$\rm \: In \: ∆APC \: and \: ∆APQ$

$\rm \angle \:A = \angle \: A \: (common)$

$\rm \angle \:B = \angle \: P \: (corresponding)$

Angle C = Angle Q (corresponding)

∆ABC is corrsesponding to ∆APQ

AB/AP = AC/AQ

4AP/AP = AC/4

4=AC/4

AC = 4×4

AC = 16