The vertices of a triangle are a(3,0),b(0,6),c(6,9)
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The vertices of (3, 0), b(0, 6) and c(6, 9) are "right angled triange".
Step-by-step explanation:
Here, a(3, 0), b(0, 6) and c(6, 9) are the vertices of a triangle.
+ (6 - 0)^{2}[/tex]
= ( - 3)^{2}[/tex] + (6 )^{2}[/tex]
= 9 + 36 = 45
+ (9 - 6)^{2}[/tex]
= (6 )^{2}[/tex] + (3 )^{2}[/tex]
= 36 + 9 = 45
+ (9 - 0)^{2}[/tex]
= (3)^{2}[/tex] + (9)^{2}[/tex]
= 9 + 81 = 90
∵ [tex]ab^{2} + [tex]bc^{2} = 45 + 45 = 90
= [tex]ca^{2}, it is right angled triangle.
Hence, the vertices of (3, 0), b(0, 6) and c(6, 9) are "right angled triange".
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