Question

In the given figure, CB || QR and. CA || PR. If AQ = 12 cm, , AR = 20 cm, PB = CQ = 15 cm, calculate PC and BR.

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Answer 1

Step-by-step explanation:

Given In the given figure, CB || QR and. CA || PR. If AQ = 12 cm, , AR = 20 cm, PB = CQ = 15 cm, calculate PC and BR.

• From triangle PQR given CB is parallel to QR then
• From basic proportionality theorem
• PC / CQ = PB / BR
• PC / 15 = 15 / BR ----------1
• In triangle PQR, given CA is parallel to PR,
• From basic proportionality theorem  
• PC / CQ = AR / AQ
• PC / 15 = 20 / 12
• So PC = 20 x 15 / 12
• So PC = 25 cm
• Now from equation 1 we get
• PC / 15 = 15 / BR
• Or 25 / 15 = 15 / BR
• BR = 15 x 15 / 25
• Or BR = 9 cm

Reference link will be

https://brainly.in/question/6054698

Answer 2

Given In the given figure, CB || QR and. CA || PR. If AQ = 12 cm, , AR = 20 cm, PB = CQ = 15 cm, calculate PC and BR.

From triangle PQR given CB is parallel to QR then

From basic proportionality theorem

PC / CQ = PB / BR

PC / 15 = 15 / BR ----------1

In triangle PQR, given CA is parallel to PR,

From basic proportionality theorem  

PC / CQ = AR / AQ

PC / 15 = 20 / 12

So PC = 20 x 15 / 12

So PC = 25 cm

Now from equation 1 we get

PC / 15 = 15 / BR

Or 25 / 15 = 15 / BR

BR = 15 x 15 / 25

Or BR=9cm