1.

show that the triangle formed by the points A(1,3),B(3,-1) and C(-5,-5) is a right angled triangle (by using slopes).​

Answer»

Answer:

True

Step-by-step EXPLANATION:

If triangle FORMED by A, B and C is a right angled triangle, AB  should be perpendicular to BC.

  This means: slope of AB = - 1 / slope of BC

Checking( for RHS = LHS )

  Solving LHS:

⇒ slope of AB

⇒ ( - 1 - 3 ) / ( 3 - 1 )

⇒ - 4 / 2

⇒ - 2

   Solving RHS:

⇒ - 1 / slope of BC

⇒ - 1 / [ ( - 5 + 1 ) / ( - 5 - 3 ) ]

⇒ - ( - 8 ) / ( - 4 )

⇒ 8 / ( - 4 )

⇒ - 2

     As LHS = RHS triangle formed by these  points is a right angled triangle.


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