10. Determine if the points (5,-2), (6,4) and (7,-2) are collinear.
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Answer:
Hence (5,−2),(6,4) & (7,−2) are vertices of isosceles triangle.
Step-by-step explanation:
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.
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