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=(13)2+(35)2=2 22.8284 m2=(16)2+(3n)2 m2=((13)2+(35)2)+(36)2+(5n)2 (16)2+(3n)2=(13)2+(35)2+(36)2+(5n)2 4n=8 n=8/4=2

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