In triangle 'ABC, angle B=90 degree and 'BD' is perpendicular to AC.
a) If 'angle A=x degree, write the angles of triangles 'ABD' 'and 'BDC'.
b) Prove that '(BD)^2=AD X CD'.

In triangle 'ABC, angle B=90 degree . BD' is perpendicular to 'AC'. a) If 'angle A=x degree', find the measures of 'angle C' and 'angle ABD' b) Write the ratios of the sides opposite to the equal angles in triangle 'ABD' and triangle ABC. c) Prove that 'AB^2=AD x AC'.

In triangle A B C, angle C= 90^circ , A C=12 cm, BC=16 cm and CD Is perpendicular to AB. i) Find the length of AB. ii) Find the length of A D and B D. Iii) Find the length of CD.

In /_\ ABC, AC=BC= 12 centimetres, a) What is the perpendicular distance from C to AB? b) Calculate the area of the triangle.