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The points A(a, 0), B(0, b) and the origin O form a triangle.
If AB = 10 and a = 6 with b > 0, find the value of b.

Class 10Distance FormulaGeometry — Coordinates

A9
B7
C8
D16

Step-by-Step Solution

AB =

(0 - 6)^{2} + (b - 0)^{2} = 36 + b^{2} = 10

. So

36 + b^{2} = 100, b^{2} = 64, b = 8

(since

b > 0

).

Answer: C) 8

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