Find the area of triangle of (1,1)(1,4)(5,1)
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Answer:
Step-by-step explanation:
Given that, the coordinates of the vertices of a triangle are (1,−1),(−4,6),(−3,−5)
Let us Assume A(x 1
,y 1
)=(1,−1), B(x
2
,y
2
)=(−4,6) and C(x 3
,y 3
)=(−3,−5)
We know that,
Area of triangle = 2 1
[x 1
(y 2
−y 3
)+x
2
(y
3
−y
1
)+x
3
(y
1
−y
2
)]
Therefore,
Area of the given triangle =
2
1
[{1(6−(−5))}+{(−4)(−5−(−1))}+{(−3)((−1)−6)}]
⇒
2
1
{11+16+21}
⇒
2
48
=24 square units
Hence, the area of the triangle with given vertices is 24 square units
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