Math, asked by roypintoo2777, 5 months ago

9) In ∆ ABC, line PQ || side BC, AP = 3, BP=6, AQ= 5 then the value of CQ is __________ *
2 points

Answers

Answered by MissSnowflake76
17

Step-by-step explanation:

AP AQ

___ = ____

BP QC

3 5

__ = ____

6 QC

5 × 6

QC = _____

3

QC = 5 × 2

QC = 10

Hope this Helps.

Attachments:
Answered by ajajit9217
0

Answer:

The length of CQ is 5 units

Step-by-step explanation:

Given:

PQ || BC

AP = 3

BP = 6

AQ = 5

Solution:

In ∆ ABC and ∆ APQ,

∠A = ∠A                             (common in both)

∠ABC = ∠APQ                   (corresponding angles)

∠ACB = ∠AQP                   (corresponding angles)

Therefore, ∆ ABC ≈ ∆ APQ     (by AAA)

=> \frac{AP}{AB} = \frac{AQ}{AC} = \frac{PQ}{BC}

On substitution in \frac{AP}{AB} = \frac{AQ}{AC}

=> \frac{3}{6} = \frac{5}{AC}

=> AC = 10

We know AC = AQ + QC

=> 10 = 5 + QC

=> QC = 10 - 5

          = 5

Therefore, the length of CQ is 5 units

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