Question

how to solve this word problem
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Answer 1

Answer:

according to question :-

LP bisect the triangle LMN

and it is also given that angle MPL and angle LPN is 90 degrees

so angle MPL and angle LPN are equal

and PN = PM (given)

and LP = LP

so if PN = PM

angle MPL = angle LPN

and LP=LP

so by SAS (Side angle side) it is proved that the triangle LPM is congruent to triangle LPN

therefore by CPCT :-

LM = LN

and though LM = LN therefore the triangle LMN is isosceles

and since MP = PN therefore angle MLP = angle NLP

and since LP = LP therefore Angle M = angle N

now according to question all is proved

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