Math, asked by satvikyadav9360, 1 year ago

The vertices of a triangle are a(3,0),b(0,6),c(6,9)

Answers

Answered by harendrachoubay
0

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.

ab^{2}</strong> = (0 - 3)^{2} + (6 - 0)^{2}[/tex]  

= ( - 3)^{2}[/tex] + (6 )^{2}[/tex]  

= 9 + 36 = 45

bc^{2} </strong>= (6 - 0)^{2} + (9 - 6)^{2}[/tex]  

= (6 )^{2}[/tex] + (3 )^{2}[/tex]  

= 36 + 9 = 45

ca^{2} </strong>= (6 - 3)^{2} + (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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