Show that the points (8,4),(5,7),(-1,1),(2,-2)[taken in order] form a rectangle.
Show that the points (8,4),(5,7),(-1,1),(2,-2)[taken in order] form a rectangle.
Drovan Reddy , 10 Years ago
Grade 9
Analytical Geometry> Show that the points (8,4),(5,7),(-1,1),(...
2 Answers
Saurabh Koranglekar
Vikas TU
Dear student
Opposite sides of rectangle are congruent
d (P, Q)=
sqrt{(8 - 2)^{2} } + sqrt{(4 + 2}^{2}
d (P, Q)=
sqrt{(8 - 2)^{2} } + sqrt{(4 + 2}^{2}
=
sqrt{36 + 36}
sqrt{36 + 36}
=
sqrt{72}
=
sqrt{8 \times 9}
sqrt{8 \times 9}
=
3 sqrt{8}
similarly, d (Q, R), d (R, S)and d (P, S) will be
3 sqrt{8}
Hence points P, Q, R and S form a rectangle
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