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Grade: 12th pass

                        

Given BE and CF are the altitudes of the ∆ABC.P,Q are on BE and extension of CF respectively, such that BP=AC,CQ=AB, prove that AP is perpendicular to AQ

one year ago

Answers : (1)

Prasanjeet Nayak
13 Points
							

From AB perpendicular to CQ and BE perpendicular to AC

angleABE=angleQCA

SinceAB=CQ and BP =CA,

TriangleABP TriangleQCA (S.A.S.)

 angleBAP angleCQA,

angleQAP angleQAF + angleBAP angleQAF + angleCQA 
= 180 °- 90 = 90
one year ago
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