In Figure 4 6 if PQ||BC and PR||CD Prove That (i) AR/AD = AQ/AB (ii) QB/AQ = DR/AR Fig - Maths - Triangles

Question

In Figure 4 6 if PQ||BC and PR||CD Prove That (i) AR/AD = AQ/AB
(ii) QB/AQ = DR/AR

Neha Sethi · Accepted Answer

Dear student

In △ABC , we havePQ∥BC      givenSo,  by BPT theorem  we haveAQAB=APAC     
1In △ACDPR∥CDBy BPT thoeremAPAC=ARAD   
2From 1 and 2 we getAQAB=ARAD or ARAD=AQAB     from 1 we haveAQAB=ARAD⇒ABAQ=ADAR⇒AQ+QBAQ=AR+RDAR=1+QBAQ=1+RDAR⇒QBAQ=DRAR
Regards

In Figure 4.6 if PQ||BC and PR||CD. Prove That (i) AR/AD = AQ/AB (ii) QB/AQ = DR/AR In Figure 4.6 if PQ||BC and PR||CD. Prove That (i) AR/AD = AQ/AB (ii) QB/AQ = DR/AR Fig. 4.16

In Figure 4.6 if PQ||BC and PR||CD. Prove That (i) AR/AD = AQ/AB
(ii) QB/AQ = DR/AR

In Figure 4.6 if PQ||BC and PR||CD. Prove That (i) AR/AD = AQ/AB (ii) QB/AQ = DR/AR Fig. 4.16