In triangle ABC,seg AP perpendicular side BC,seg BQ perpendicular side AC ,B-P-C,A-Q-C then show that triangle CPA similar Triangle CQB.if AP=7 BA=8 BC=12 then find AC
Answers
Answered by
11
Answer:
15.12cm
Step-by-step explanation:
proof
in ∆ cpa & cqb,
< ACP = < QCB
< APC = < BQC =90°
so by aa similarity criteria, ∆ CPA~∆ CQB
bp^2= (8*8) - (7*7)
bp=√64-49
bp=√15
pc=12-√15
ac=√(7*7)+(12-√15)^2
=√49+8.12
=15.12
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39
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