Right angled triangle 2

LMN is a right-angled triangle with vertices at L(1,3), M(3,5), and N(6,n). Given angle LMN is 90° find n

Correct answer:

n =  2

Step-by-step explanation:

n1​=(1−3)2+(3−5)2​=2 2​≐2.8284  m2 = (1−6)2 + (3−n)2  m2 = ((1−3)2+(3−5)2) + (3−6)2 + (5−n)2 (1−6)2 + (3−n)2 = (1−3)2+(3−5)2 + (3−6)2 + (5−n)2 4n = 8 n=8/4=2

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