Home
Class 10
MATHS
In DeltaABC , AX bot BC and Y is middle ...

In `DeltaABC , AX bot BC` and Y is middle point of BC. Then prove that ,
`AB^(2)=AY^(2)+(BC^(2))/4-BC.XY`

Promotional Banner

Topper's Solved these Questions

  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -IV: Geometry (Triangles) (Multiple Choice Questions)|8 Videos
  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -IV: Geometry (Triangles) (Very Short Answer type Questions )|17 Videos
  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -III: Coordinate Geometry (Coordinate Geometry ) (Very Short Answer Type Questions )|13 Videos
  • COORDINATE GEOMETRY

    OSWAL PUBLICATION|Exercise SELF ASSESSMENT |20 Videos
  • INTRODUCTION TO TRIGONOMETRY

    OSWAL PUBLICATION|Exercise Self - Assessment |15 Videos

Similar Questions

Explore conceptually related problems

In DeltaABC , AX bot BC and Y is middle point of BC. Then prove that , AC^(2)=AY^(2)+(BC^(2))/4 +BC.XY

In DeltaABC, AB+BC gt

In the given figure if AD bot BC prove that AB^(2)+CD^(2)= BD^(2) +AC^(2)

In a Delta ABC , angleB is an acute-angle and AD bot BC Prove that : (i) AC^(2) = AB^(2) + BC^(2) - 2 BC xx BD (ii) AB^(2) + CD^(2) = AC^(2) + BD^(2)

In DeltaABC , seg AD bot seg BC , DB=3CD . Prove that 2AB^(2)=2AC^(2)+BC^(2) .

In DeltaABC, if M is the midpiont of BC and seg AM bot seg BC, then prove that prove that AB^(2)+AC^(2)=2AM^(2)+2BM^(2).

In a triangle ABC, D is midpoint of side BC. If ACgtAB and AE_|_BC , then prove that AB^(2)=AD^(2)-BC.ED+(1)/(4)BC^(2)

In Delta ABC , D is the midpoint of BC and AE bot BC . If AC gtAB , show that AB^(2)=AD^(2)-BC*DE+(1)/(4)BC^(2)

In a triangle ABC,AC>AB,D is the mid- point of BC and AE perp BC .Prove that: (i) AB^(2)=AD^(2)-BCDE+(1)/(4)BC^(2)( (ii) AB^(2)+AC^(2)=2AD^(2)+(1)/(2)BC^(2)