[" In a right angled triangle "ABC,/_B=90^(@)" and "D" is mid point of the hypotenuse AC.Prove "4],[AC-2BD" ."]

In a right-angled triangle ABC, angleABC=90^(@) and D is mid-point of AC. Prove that BD=(1)/(2)AC .

In a triangle ABC, B=90^@ and D is the mid-oint of BC then prove that AC^2=AD^2+3 CD^2

In a triangle ABC,B=90^(@) and D is the mid-oint of BC then prove that AC^(2)=AD^(2)+3CD^(2)

In right angled triangle ABC,/_A is right angle.AD is perpendicular to the hypotenuse BC.Prove that (Delta ABC)/(Delta ACD)=(BC^(2))/(AC^(2))

In right angled triangle ABC , /_A is a right angle. AD is perpendicular on the hypotenuse BC . Prove that (DeltaABC)/(DeltaACD)=(BC^(2))/(AC^(2)) .

ABC is a right angled triangle right angled at C. CD is perpendicular on the hypotenuse AB. Prove that (AC^2)/(BC^2)=(AD)/(DB)

In right-angled triangle ABC in which /_C=90^(@), if D is the mid-point of BC, prove that AB^(2)=4AD^(2)-3AC^(2)

ABC is a right angled triangle with ABC = 90^@ . D is any point on AB and DE is perpendicular to AC. Prove that: DeltaADE~DeltaACB .

In the given figure ABC is a right angled triangle with angleB=90^(@) . D is the mid -point of BC . Show that AC^(2) = AD^(2) +3CD^(2) .