Math, asked by mandepudivijay1, 1 day ago

distance between orthocenter and circumcentere of the triangle vertices (2,3),(2,5),(4,3) is​

Answers

Answered by sonianuradha48
0

Answer:

Correct option is

D

0

Let A(2,1,5), B(3,2,3), and C(4,0,4) be the vertices of the triangle given.

We have the distance formula, between points P(x

1

,y

1

,z

1

) , R(x

2

,y

2

,z

2

)

PR=

(x

1

−x

2

)

2

+(y

1

−y

2

)

2

+(z

1

−z

2

)

2

To find the length of the sides,

AB=

(2−3)

2

+(1−2)

2

+(5−3)

2

=

1+1+4

=

6

CB=

(4−3)

2

+(0−2)

2

+(4−3)

2

=

1+4+1

=

6

CA=

(4−2)

2

+(0−1)

2

+(4−5)

2

=

4+1+1

=

6

⟹The triangle is equilateral.

Hence the ortho-centre, circumcentre, incentre and centroid is the same point.

The distance between ortho-centre and circumcentre is 0.

Step-by-step explanation:

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