# prove that the area of a triangle whose vertices are (-5,1) , (3,2) AND (5,7) is 4 times the word area of the triangle formed by the lines joining midpoints of the sides

Answers: 3

prove that the area of a triangle whose vertices are (-5,1) , (3,2) AND (5,7) is 4 times the word ar...

answer:

Correct option is

C

32 square units

Area of a triangle with vertices (x

1

,y

1

) ; (x

2

,y

2

) and (x

3

,y

3

) is

∣

∣

∣

∣

∣

2

x

1

(y

2

−y

3

)+x

2

(y

3

−y

1

)+x

3

(y

1

−y

2

)

∣

∣

∣

∣

∣

Hence, substituting the points (x

1

,y

1

)=(−5,−1) ; (x

2

,y

2

)=(3,−5) and (x

3

,y

3

)=(5,2) in the area formula, we get

Area of triangle ABC =

∣

∣

∣

∣

∣

2

(−5)(−5−2)+(3)(2+1)+5(−1+5)

∣

∣

∣

∣

∣

=

∣

∣

∣

∣

∣

2

35+9+20

∣

∣

∣

∣

∣

=

2

64

=32squnits

the answer is piplup.

the ‘me’ in “the early hours make me strive in my contests or leisure battles” refers to piplup.

piplup is a blue colored penguin. it is a water type pokemon that first came into existence in generation iv. character is available at the beginning of pokemon diamond, platinum and pearl.

piplup gets transformed to prinlup in level 16 that in turn is converted to empoleon in level 36.

answer:

alas, there is no cure for st*pidity

i pity you: (

explanation: