(##VPU_HSS_MAT_IX_C07_E04_021_Q01##)'
In the figure 'P Q' is parallel to 'B C' and 'P R' is parallel to 'CD'.
a) Write, the equal angles of triangle 'AQP', and ABC.
b) Write the equal angles of triangles ARP and 'ADC'.
c) Prove that 'ARAD=AQAB'

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 the figure, B P: P Q: Q C=1: 2: 1. Area of triangle APQ is 8 sq.cm. (a) Find the area of triangle A B P. b) Find the area of triangle ABC.