Question

prove that the points (0,1,2) (2,-1,3) and( 1,-3,1) from an isosceles right angled triangle
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Answer 1

Step-by-step explanation:

AB=

(2−0)

2

+(−1−1)

2

+(3−2)

2

=3

BC=

(2−1)

2

+(−1+3)

2

+(3−1)

2

=3

CA=

(1−0)

2

+(−3−1)

2

+(1−2)

2

=3

2

Clearly, AB=BC and AB

2

+BC

2

=AC

2

.

Hence, triangle ABC is an isosceles right-angled triangle.

Answer 2

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