Section 'C' !r nuumbers 13 to 22 carry 3 marks eachestrie a PM arc alt

1.	Section 'C' !r nuumbers 13 to 22 carry 3 marks eachestrie a PM arc altitudes of AARnumbers 13 to 2213. IfADaC and APOR respectively where AABC-APOR, then proveADP.M
Answer» We are given that △ABC≅△PQR AD andPMare median of△ABCand△PQRrespectively. As △ABC≅△PQR So by CPCT AB=PQ BC=QR ⟹12BC=12QR ⟹BD=QMas D &M are mid -points ofBCandQR. ∠ABC=∠PQR ⟹∠ABD=∠PQM Now you can apply theSAS congruence criterion to get △ABD≅△PQM ⟹AD=PM Now as AD=PM ⟹AD/AB=PM/AB ⟹AD/AB=PM/PQ⟹ASAB=PQ ⟹AD/PM=AB/PQ ⟹AB/PQ=AD/PM Hence Proved.

Section 'C' !r nuumbers 13 to 22 carry 3 marks eachestrie a PM arc altitudes of AARnumbers 13 to 2213. IfADaC and APOR respectively where AABC-APOR, then proveADP.M

Answer»

We are given that

△ABC≅△PQR

AD andPMare median of△ABCand△PQRrespectively.

△ABC≅△PQR

So by CPCT

AB=PQ

BC=QR

⟹12BC=12QR

⟹BD=QMas D &M are mid -points ofBCandQR.

∠ABC=∠PQR

⟹∠ABD=∠PQM

Now you can apply theSAS congruence criterion to get

△ABD≅△PQM

⟹AD=PM

Now as

AD=PM

⟹AD/AB=PM/AB

⟹AD/AB=PM/PQ⟹ASAB=PQ

⟹AD/PM=AB/PQ

⟹AB/PQ=AD/PM

Hence Proved.