Question

If CD is the perpendicular bisector of AB, then the value of x is:

10.
5.
22.
11.

Answer 1

In ΔCAD and ΔCBD,

CD = CD [ Common side ]

AD = BD [ CD is the perpendicular "bisector" of AB ]

∠CDA = ∠CDB [ CD is the "perpendicular" bisector of AB ]

Thus, ΔCAD and ΔCBD are congruent triangles. [ SAS congruency ]

If these triangles are congruent, then AC = BC.

2x = 3x -10

x = 10.

Answer 2

value of x=10 G

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