Latest TCS Aptitude Question SOLUTION: In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates(4,0),(6,3)and(6,-3)? a)6 b)7 c)7.5 d)6.5

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In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates(4,0),(6,3)and(6,-3)?
a)6
b)7
c)7.5
d)6.5

Asked In TCS krishnaprasad TATA (11 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

Nandhini  (11 years ago)

Area of a triangle if their co-ordinates are given is,

area = |(A(x)*[B(y)-C(y)]+B(x)*[C(y)-A(y)]+C(x)*[A(y)-B(y)])/2|
So let the co-ordinates be A(4,0), B(6,3), C(6,-3), now the area will be,
Area = |[4 * (3+3) + 6 * (-3-0) + 6 * (0-3)] / 2 |
Area = | -12/2 | = 6

Is this solution Helpfull? Yes (48) | No (4)  

Garima  (11 years ago)

6

In this case , base = 6 units
and
height = 2 units
Area = 6*2*1/2 = 6 sq units

Is this solution Helpfull? Yes (27) | No (4)  

Pooja  (9 years ago)

Formula for rectangular coordiantes is =A(4,0) B(6,3) C(6,-3)
=1/2[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]
on soving
=1/2[4(3-(-3))+6(-3-0)+6(0-3)]
=1/2[24-18-18}
=1/2[24-36]
=1/2*12
ans =6
Note- negative is neglected in finding the area of the triangle.

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sahasra  (11 years ago)

area of the triangle is 1/2* {x1*(y2-y3)-y1*(x2-x3)+1(x2y3-x3y2)}
after substituting values we will get ans :6

Is this solution Helpfull? Yes (8) | No (7)  

himanshu umrao  (11 years ago)

area=1/2(l*b)
l=6-4=2
b=3(+y)+3(-y)=6
area=1/2*2*6=6

Is this solution Helpfull? Yes (8) | No (5)  

vipul saxena  (11 years ago)

NEED MORE EXPLAINANTION

Is this solution Helpfull? Yes (6) | No (5)  

Deepali Chandak  (9 years ago)

Answer is Option d) 6.5
Base=sqrt13 and height=sqrt13
so area of triangle=1/2*sqrt13*sqrt13=6.5

Is this solution Helpfull? Yes | No (5)  

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