show the point a(-2 1) b(2,-2) c (5,2) are the vertices of an isosceles right angled triangle
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Answer:
A(−5,4) B(−1,−2) C(5,2).
AB=
4
2
+6
2
=
52
BC=
6
2
+4
2
=
52
AC=
10
2
+2
2
=
104
It is isosceles triangle.
with AB=BC
For making square
BD=AC=
104
(x+1)
2
+(y+2)
2
=
104
------(1)
Also, slope of AC is
slope of BD
−1
Slope of BD=
x+1
y+2
=
10
−2
−1
x+1
y+2
=5------(2)
from (1) & (2)
x=1 y=8
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