In the given figure, squares ABDE and AFGC are drawn on the side AB and the hypotenuse AC of the right angle triangle ABC. If BH is perpendicular to FG, Prove that
(i) `Delta EAC ~= Delta BAF`
(ii) area of square ABDE= area of rectangle ARHF.

In the figure given alongside, squares ABDE and AFGC are drawn on the side AB and the hypotenuse AC of the right triangle ABC. If BH perpendicular to FG, prove that : (i) DeltaEAC~=DeltaBAF . (ii) Area of the square ABDE = Area of the rectangle ARHF.

In the figure given alongside, squares ABDE and AFGC are drawn on the side AB and the hypotenuse AC of the right triangle ABC. If BH perpendicular to FG, prove that : (i) DeltaEAC~=DeltaBAF . (ii) Area of the square ABDE = Area of the rectangle ARHF.

ABC is a right angled triangle with ABC = 90^@ . D is any point on AB and DE is perpendicular to AC. Prove that: Find, area of AADE: area of quadrilateral BCED.

On the sides AB and AC of triangle ABC, equilateral triangles ABD and ACE are drawn. Prove that : (i) angle CAD = angle BAE (ii) CD = BE

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 the following figure, angle A = angle C and AB = BC. Prove that : Delta ABD ~= Delta CBE

On the sides AB and AC of triangle ABC, equilateral triangles ABD and ACE are drawn. Prove that : angleCAD=angleBAE

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

In a right angled triangle ABC,D is the foot of the perpendicular from B on the hypotenuse AC . If AB=3cm and BC=4cm, what is the area of /_\ABD

If BD is the perpendicular drawn from the vertex B of the right triangle ABC to the hypotenuse AC,prove that(ii) AB^2=ADxxAC