Question

92.40
3. Fill
2
2.
4075+
Ite box wilti appropriate equivalent fractie
4
40
4. There are total 158 almirahs in a Liabrary. If uny
put as books in each of it, then how many books we can
kept in each of the almirahs. 4015
2​

Answer 1

✌️❣️_,_,_,_,_,_,_,_,_,_,_,_,_,_,_,_,_,_,_

Given P is equidistant from points A and B

PA=PB .....(1)

and Q is equidistant from points A and B

QA=QB .....(2)

In △PAQ and △PBQ

AP=BP from (1)

AQ=BQ from (2)

PQ=PQ (common)

So, △PAQ≅△PBQ (SSS congruence)

Hence ∠APQ=∠BPQ by CPCT

In △PAC and △PBC

AP=BP from (1)

∠APC=∠BPC from (3)

PC=PC (common)

△PAC≅△PBC (SAS congruence)

∴AC=BC by CPCT

and ∠ACP=∠BCP by CPCT ....(4)

Since, AB is a line segment,

∠ACP+∠BCP=180

∘

Thus, AC=BC and ∠ACP=∠BCP=90

∘

∴,PQ is perpendicular bisector of AB.

Hence proved.

Tusen Takk ✌️❣️