Math, asked by Anonymous, 6 months ago

Class 10th, Chapter 7, Mathematics....

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Answers

Answered by garimakanwar298
1

Answer:

scalene

Step-by-step explanation:

The three vertices of the triangle are A(−5,6),B(−4,−2) and (7,5).

By distance formula, AB =

[(x 2 −x 1 )

2 +(y

2

−y

1

)

2

]

AB =

[(−4−(−5))

2

+(4−(−2−6))

2

]

AB =

[(1)

2

+(−8)

2

]

AB =

[1+64]

AB =

65

By distance formula, AC =

[(x

2

−x

1

)

2

+(y

2

−y

1

)

2

]

AC =

[(7−(−5))

2

+(5−6)

2

]

AC =

[(12)

2

+(−1)

2

]

AC =

144+1]

AC =

145

By distance formula, BC =

[(x

2

−x

1

)

2

+(y

2

−y

1

)

2

]

BC =

[(7−(−4))

2

+(5−(−2))

2

]

BC =

[(11)

2

+(7)

2

]

BC =

[121+49]

BC =

170

Length of all sides of the triangle are different.

So ABC is a scalene triangle.

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here is your answer

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