Question

If the vertices of a triangle ABC are (0, 6),
(-5,3) and (3, 1) respectively. Then triangle
is
Scalene triangle
Equilateral
Right angled
None of these
​

Answer 1

Answer:

ANSWER

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

We compute the length of the sides as follows:

AB=

(2−(−2))

2

+(3−0)

2

=

4

2

+3

2

=

16+9

=5

BC=

(1−2)

2

+(−3−3)

2

=

(−1)

2

+(−6)

2

=

1+36

=

37

AC=

(1−(−2))

2

+(−3−0)

2

=

3

2

+(−3)

2

=

9+9

=

18

Since none of the lengths of the sides are equal, therefore, it is a scalene triangle.

Answer 2

Step-by-step explanation:

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