| In the given figure, \[\Delta ABC\] and \[\Delta ADE\] are isosceles triangles with \[AB=AC\] and \[AD=AE\]. |
| If \[CE=2\text{ }cm\] and \[DE=6\text{ }cm,\]then what is the length of side BC? |
 |
A) \[8\text{ }cm\]
B) \[\text{9 }cm\]
C) \[\text{10 }cm\]
D) \[\text{1 }cm\]
Correct Answer: C
Solution :
(c): In Ales ABD and ACE, \[AB=AC\text{ };\text{ }AD=AE\] and included \[\angle les\] are \[30{}^\circ \] each Hence, they are congruent. \[\Rightarrow BD=CE=2\text{ }cm\] \[\therefore \,\,BC=BD+DE+CE;=2+6+2=10cm\]
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