Question

On one of the longer sides pq of a rectangle pqrs a point x is taken such that sx2 = px x pq

Answer 1

Answer:

Given

sx$^{2}$ = px . pq

=> sx .sx = px.pq

=> $\frac{sx}{pq} = \frac{px}{sx}$

∵ pq= sr

=>  $\frac{sx}{sr} = \frac{px}{sx}$

∠pxs = ∠rsx (alternate angle)

so sx/sr = px/sx  and ∠pxs = ∠rsx

=> Δpxs is similar to  Δxsr  

(hence proved)

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@GauravSaxena01