perplexus.info :: Shapes : Harmonic mean and constant determination puzzle

Harmonic mean and constant determination puzzle (Posted on 2015-06-13)

In a triangle ABC , ∠BAC = 90^o. Point D lies on the side BC, and satisfies
∠BDA = k*∠BAD, where k is a real constant.

Find the value of k, given that length of AD is the harmonic mean between the respective lengths of BD and CD.

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

The required value of k is 2.
For an explanation, refer to:
The solution submitted by Jer in this location.
The solution submitted by Harry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
A different approach	Harry	2015-06-16 10:16:51
Solution	Jer	2015-06-15 12:36:54

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