Question

. In Figure – 7, if PQ || BC and PR || CD, prove that QB/AQ = DR/AR

Answer 1

Step-by-step explanation:

Given that:if PQ ll BC and PR ll CD.

To prove: prove that QB/AQ = DR/AR.

Solution:

In ∆ABC

Since PQ ll BC

$\mathcal{ \frac{QB}{AQ} = \frac{AC}{AP} } \: \: \: \: ...eq(1) \: [by \:BPT ]$

In ∆ACD

Since PR||CD

$\mathcal{ \frac{ PC}{AP} = \frac {DR}{AR}} \: \: \: \: \: ...eq \: (2) \: [BPT]$

From equation (1) & equation (2)

$\mathcal{ \frac{QB}{AQ} = \frac{DR}{AR}}$

Hence, proved

Answer:-

$\mathcal{ \frac{QB}{AQ} = \frac{DR}{AR}}$

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