Let A = (-3, 2] and B = - A = (-3, 2] and B = [-2, 3], then A-B is equal to
a) (-3, 3) b) (-3,-2) c) (-2, 2) d) (-2, 1)
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Answer:
Let the given points be,
⇒A(3,2),B(−2,−3) and C(2,3)
Therefore,
AB=
(3+2)
2
+(2+3)
2
=
50
=5
2
units
BC=
(−2−2)
2
+(−3−3)
2
=
52
=2
13
units
AC=
(3−2)
2
+(2−3)
2
=
2
units
Now, we can see that,
(2
13
)
2
=(5
2
)
2
+(
2
)
2
BC
2
=AB
2
+AC
2
Therefore, the given triangle is a right angled triangle.
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