Question

24. If AABC is an equilateral triangle such that
AD IBC, then (AD)2 = k(DC), then find
the value of k.​

Answer 1

Step-by-step explanation:

Given, equilateral triangle ABC, AD⊥BC

Since, it is an equilaateral triangle, the perpendicualr also bisects the side.

Hence, BD=DC or BD=

2

1

BC=

2

1

AB

Now, In △ABD, we have

AB

2

=AD

2

+BD

2

⇒AB

2

−BD

2

=AD

2

⇒BC

2

−BD

2

=AD

2

⇒(2CD)

2

−CD

2

=AD

2

⇒3CD

2

=AD

2

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