Question

PM=PN,PM perpendicular AB and PN perpendicular AC

Answer 1

In triangle APM and triangle APN
PN=PM ..(.given)
angle PNA = angle PMA ...(each 90 degree).
AP =AP (commom)

by RHS triangles are congruent.
by CPCT. AM = AN and angle PAM=angle PAN......



hope it's helpful..thanks

Answer 2

ΔAPN ≅ ΔAPM if In the figure, PM=PN, PM perpendicular AB and PN perpendicular AC

Step-by-step explanation:

Complete Question :

Show that AN = AM  or ΔAPN ≅ ΔAPM

Comparing ΔAPN & ΔAPM

AP = AP  ( common)

PN  = PM  ( given)

∠ANP  = ∠AMP  = 90°

=> AN = AM  ( as AN² = AP² - PN² = AP² - PM² = AM²)

=> ΔAPN ≅ ΔAPM

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