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Pls solve it

Dear Student,

In △AQP  and △ABC, we have   ∠APQ=∠ACB   Alternate interior angles as BC∥PQ   ∠PAQ=∠CAB   Vertically opposite anglesThus, △AQP~△ABC   By AA similarity criteriaWe know that in similar triangles, the corresponding sides are proportional.This gives,   APAC=AQAB=PQBCSubstitute the given values to get,     2.8AC=AQ6.5=48This gives,   2.8AC=48  and    AQ6.5=48⇒AC=2.8×84  and AQ=4×6.58⇒AC=5.6 cm  and AQ=3.25 cm

Regards

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Hi Vaibhav, triangles ABC and APQ are similar triangles.
Also ABC is larger one which is two times bigger
Because it is given BC/PQ = 8/4 = 2
So AB = 2 AQ
Given AB = 6.5
So AQ = 3.25 cm
And AC = 2 AP
Given AP = 2,8
So AC = 5.6 cm
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Hi Vaibhav, triangles ABC and APQ are similar triangles.
Also ABC is larger one which is two times bigger
Because it is given BC/PQ = 8/4 = 2
So AB = 2 AQ
Given AB = 6.5
So AQ = 3.25 cm
And AC = 2 AP
Given AP = 2,8
So AC = 5.6 cm
  • 1
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