the distance between two points (8,6) and (0, 0 )will be
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Answer:
The distance between the points (0, 8) and (6, 0) is
d=
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
=
(6−0)
2
+(0−8)
2
=
36+64
=
100
=10
Aliter:
Let A and B denote the points (6, 0) and (0, 8) and let O be the origin. The point (6, 0) lies on the x-axis and the point (0, 8) lies on the y-axis. Since the angle between coordinate axes is right angle, the points A, O and B form a right triangle.
Now, OA = 6 and OB = 8. Hence, using Pythagorean Theorem
AB
2
=OA
2
+OB
2
=36+64=100.
∴AB=
100
=10
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