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bmia7757
27.10.2020 •
Mathematics
Name the quadrilateral, ANDY if A(-1, 4), N(2,6), D((5, 4) and Y(2, 2)!
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Ответ:
Area of quadrilateral = area of triangle 1 + area of triangle 2
Area of triangle =
2
1
[x
1
(y
2
−y
3
)+x
2
(y
3
−y
1
)+x
3
(y
1
−y
2
)]
Given,
A(1,2),B(−5,6),C(7,−4),D(k,−2)
Let the first triangle be, ABC
Area of △ABC=
2
1
[1(6−(−4))−5(−4−2)+7(2−6)]
=
2
1
[10+30−28]
=6sq.units
Area of △ACD=
2
1
[1(−4+2)+7(−2−2)+k(2+4)]
=
2
1
[−2−28+6k]
=−15+3ksq.units
Area of quadrilateral =6−15+3k=0
k=3
Ответ: