Home
Class 9
MATHS
In the figure, AD is perpendicular to BC...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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

ABC is an equilateral triangle. AD is perpendicular to BC. Prove that AB^(2) + BC^(2) + CA^(2) =4AD^(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) =2BE^2 +2AE^2

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

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 .

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

In the following figure, AD is perpendicular to BC and D divides BC in the ration 1 : 3. Prove that : 2AC^(2)=2AB^(2)+BC^(2)

In triangle ABC, AD is a median. Prove that AB + AC gt 2AD

In triangle ABC, AD is a median. Prove that AB + AC gt 2AD

In /_\ABC, AD is a perpendicular to BC.S.T. i) AB gt BD ,