Answer any One question : In `triangleABC`, AD is perpendicular on BC and `AD^2 = BD`. DC, prove that `angleBAC` is a right angle.

In Delta ABC ,AD is a perpendicular drawn from A to the side BC. If AD^(2)=BD . CD , then prove that the triangle is a right-angled triangle.

Answer any One question : prove that semicirular angle is a right angle.

O is the circumcentre of triangleABC and OD bot Bc , prove that angleBOD = angleBAC .

If D is the mid point of side BC of a triangle ABCand AD is perpendicular to BC, then

In triangleABC , if AD is the median and angleABC = 90^@ , then AC^2 =

Answer any Two questions : In triangle ABC angle C = 90^@ , If BC = m and AC = n then prove that m sin A+ n sin B = sqrt(m^2+ n^2)

In triangleABC , the perpendicular from A upon BC intersects BC at D. If BD = 16., DC = 4cm and AD = 8cm., then angleBAC =

Answer any One queation : Prove that, if a perpendicular is draw on the hypotenuse from the right angled triangle, two triangles so formed on the two sides of the perpendicular are each similar to the original triangle and also similar to each other.

ABC is a right angled triangle whose angleA = 90^@ , AD is perpendicular on BC. Prove that (area of triangleABC)/(area of triangleACD) = (BC^2)/(AC^2) .

Multiple Choice Questions (MCQ) In triangleABC, angleBAC = 90^@ . If AD is per pendicular to BC, then