1. Find the area of triangle ABC whose vertices are:
EXERCISE 16C
6) A(1,2), B(2, 3) and (3, 4)
(6) A(-5,7), B4, 5) and C(4,5)
(ii) AG, 8), B4,2) and C(5, -1)
(iv) A(10,-6), B(2,5) and C(1,3)
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Answer:
ANSWER
The point are A(x
1
,y
1
)=(6,10),B(x
2
,y
2
)=(4,5) and C(x
3
,y
3
)=(3,8).
arΔABC=
2
1
{x
1
(y
2
−y
3
)+x
2
(y
3
−y
1
)+x
3
(y
1
−y
2
)}
⇒arΔABC=
2
1
{6(5−8)+4(8−10)+3(10−5)} sq. units
⇒arΔABC=5.5 sq. units
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