check weather (5,-2) (6,4)and (7,-2 ) are the vertex of an isosceles triangle
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11th
Maths
Straight Lines
Introduction
Check whether (5, - 2) , (6...
MATHS
Check whether (5,−2), (6,4) and (7,−2) are the vertices of an isosceles triangles.
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ANSWER
Let ABC be the triangle A(5,−2),B(6,4),C(7,−2)
By distance formula
AB=
(5−6)
2
+(−2−4)
2
=
(−1)
2
+(−6)
2
37
BC=
(6−7)
2
+(4−(−2)
2
=
(−1)
2
+(6)
2
=
37
CA=
(7−5)
2
+(−2−(−2))
2
=
(2)
2
+0
=2
Since AB=BC=
37
Hence (5,−2),(6,4) & (7,−2) are vertices of isosceles triangle.
Step-by-step explanation:
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5
Answer:
They are vertices of isosceles triangle.
Step-by-step explanation:
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