Question

Check whether the following vertices form a right triangle or not.(2,3) ,(6,3),(2,5)?​

Answer 1

Step-by-step explanation:

ANSWER

Using the distance formula d=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

, we get

AB

2

=(2+3)

2

+(6+4)

2

=5

2

+10

2

=25+100=125

BC

2

=(−6,−2)

2

+(10−6)

2

=(−8)

2

+4

2

=64+16=80

CA

2

=(−6+3)

2

+(10+4)

2

=(−3)

2

+(14)

2

=9+196=205

i.e., AB

2

+BC

2

=125+80=205=CA

2

Hence ABC is a right angled triangle since the square of one side is equal to sum of the squares of the other two sides.

Answer 2

Answer:

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