Verily
are collinear or not.
Check whether (5,-2), (6, 4) and (7,-2) are the vertices of an isosceles triangle.
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) DO
Answers
Answer:
The vertices of a triangle ABC is given as A(5
The distance AB is,
AB=
(6−5)
2
+(4−(−2))
2
=
(1)
2
+(6)
2
=
1+36
=
37
The distance BC is,
BC=
(7−6)
2
+(−2−4)
2
=
(1)
2
+(−6)
2
=
1+36
=
37
The distance CA is,
CA=
(5−7)
2
+(−2−(−2))
2
=
(−2)
2
+0
=
4
=2
Since, AB=BC, that is the two sides of a triangle are equal, therefore, the triangle is an isosceles triangle.
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If a>0 and P(−a,0),Q(a,0) and R(1,1) are three points such that
∣
∣
∣
(PR)
2
−(QR)
2
The vertices of a triangle ABC is given as A(5,−2), B(6,4) and C(7,−2).
The distance AB is,
AB=
(6−5)
2
+(4−(−2))
2
=
(1)
2
+(6)
2
=
1+36
=
37
The distance BC is,
BC=
(7−6)
2
+(−2−4)
2
=
(1)
2
+(−6)
2
=
1+36
=
37
The distance CA is,
CA=
(5−7)
2
+(−2−(−2))
2
=
(−2)
2
+0
=
4
=2
Since, AB=BC, that is the two sides of a triangle are equal, therefore, the triangle is an isosceles triangle.
Answered By
toppr
74 Views
How satisfied are you with the answer?
This will help us to improve better
answr
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girl
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EASY
MEDIUM
HARD
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Physics
Chemistry
Mathematics
Biology
Related Questions to study
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If a>0 and P(−a,0),Q(a,0) and R(1,1) are three points such that
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∣
∣
(PR)
2
−(QR)
2
∣
∣
∣
=12, then
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∣
∣
=12, then
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