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Question -

In an isosceles ∆ABC, the base AB is produced both the ways to P and Q such that AP x BQ = AC². Prove that ∆APC ~ ∆BCQ.



Answer -

Given : In ∆ABC, AC = BC
Base AB is produced to both sides and points P and Q are taken in such a waythat
AP x BQ = AC²
CP and CQ are joined
To prove : ∆APC ~ ∆BCQ

x = 1.6
Length of her shadow = 1.6 m

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