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RHS Criteria for Congruency

In the figure...

Question

In the figure,prove that $△ A P M ≅ △ A P N$ if $P M = P N, P M ⊥ A B$ and $P N ⊥ A C$

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Solution

$P M + A B (g i v e n) P N ⊥ A C (g i v e n) Δ A N P n a d A M P ∠ P N A = 90^{\circ} ∠ P M A = 90^{\circ} A P = A P (c o m m o n) H e n c e D M = P N b y S . A . S c r i t e r i a$

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