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CBSE Class 10 Answered

In triangle ABC, D is the mid-point of BC and AEperpendicularBC. If AC > AB. Show that: AB2 = AD2 - BC x DE +
Asked by Topperlearning User | 22 Dec, 2014, 01:30: PM
Expert Answer

AD is the median of triangle  ABC, since D is mid-point of BC.

 

BD = DC= ....(i)

In right triangle AEB,

      (Pythagoras theorem)

AB2 = ()+

(By using Pythagoras theorem for right triangle AED and BE = BD - DE)

AB2 =+....from (i)

AB2 =++ -2

-BC x DE +

Hence proved.

 

Answered by | 22 Dec, 2014, 03:30: PM
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