Home
Class 9
MATHS
In triangle ABC, AB > AC. E is the mid-...

In triangle ABC, AB > AC. E is the mid-point of BC and AD is perpendicular to BC. Prove that : `AB^2 +AC^2=2AE^2 +2BE^2`

Promotional Banner

Topper's Solved these Questions

  • CHAPTER REVISION (STAGE 2)

    ICSE|Exercise RECTILINEAR FIGURES|4 Videos

  • CHAPTER REVISION (STAGE 2)

    ICSE|Exercise CONSTRUCTIONS OF POLYGONS |19 Videos

  • CHAPTER REVISION (STAGE 2)

    ICSE|Exercise INEQUALITIES |5 Videos

  • AREA THEOREMS

    ICSE|Exercise Exercies 16(C )|22 Videos

  • CHAPTERWISE REVISION (STAGE 1)

    ICSE|Exercise Graphical solution |10 Videos

Similar Questions

Explore conceptually related problems

The given figure shows a triangle ABC, in which AB gt AC. E is the mid-point of BC and AD is perpendicular to BC. Prove that : AB^(2) +AC^(2) =2BE^2 +2AE^2

The given figure shows a triangle ABC, in which AB gt AC . E is the mid-point of BC and AD is perpendicular to BC. Prove that AB^(2)- AC^(2)= 2BCxxED .

In the figure AB = BC and AD is perpendicular to CD. Prove that : " "AC^(2)=2.BC.DC

In the figure, AD is perpendicular to BC, prove that AB+AC gt 2AD .

In a triangle ABC, AB = BC, AD is perpendicular to side BC and CE is perpendicular to side AB. Prove that : AD = CE.

In a triangle ABC,D is the mid - point of BC, AD is produced upto E so that DE = AD. Prove that : AB=EC

In triangle ABC, AB=AC and BD is perpendicular to AC. Prove that : BD^(2)-CD^(2)=2CDxxAD

AD is a median of triangle ABC. Prove that : AB+AC gt 2AD

In Figure -6 , in an equilateral triangle ABC, AD is perpendicular to BC , BE is perpendicular to AC and CF is perpendicular to AB . Prove that 4 (AD^2 +BE^2 +CF^2)=9AB^2

ABC is a right angled triangle with ABC = 90^@ . D is any point on AB and DE is perpendicular to AC. Prove that: If AC = 13 cm, BC = 5 cm and AE = 4 cm. Find DE and AD.