Find all angles of triangle AOP and OPT.

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'.

By giving a counter example, show that the following statements are not true p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle

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'.

By giving a counter example, show that the following statements are not true. i) p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle. ii) q: The equation x^(2)-1=0 does not have, a root lying. between 0 and 2 .

In the figure, angle B=120 ∘ angle A=15 ∘ , AB=10 centimetres. Also distance from A to BC is AP. a) Write the angle measures of triangle APB. b) Find the lengths of AP, PB. c) Calculate the area of triangle A B C.

One angle of a triangle is 150^@ and its opposite side 3 centimetre.Find the diameter of its circum circle.

Which of the following sentence are statements ?Give reasons for your answer The sum of all interior angles of a triangle is 180^@