Question

in a given figure equal sides BA and CA of triangle ABC are produced to q and P respectively such that ap is equals to 8 q prove that P B is equals to QC
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Answer 1

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Answer :

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consider triangle PAB and triangle QAC,

AP=AQ[GIVEN]

angle PAB=angle QAC

[vertically opposite angle]

AB=AC

by SAS congruence these triangles are equal

so we can say

PB = QC [CPCT]

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Answer 2

Answer:

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Step-by-step explanation:

given:

AC = Ac & AP = AQ

To Prove:

PB = QC

proof:

▲ PAB & ▲ QAC

PA = AQ

BA = CA

∠PAB = ∠QAB

∴ ▲ PAB ≅ ▲ AQC

Hence PB= QC ( congruence the corresponding are equal)