Problem-1: In the figure, ∆ABC is a triangle in which ∠ABC = 900, ∠BAC =480 and BD is perpendicular to AC. Find the remaining angles. Solution: Let remaining angles ∠ABD = x, ∠DBC = y and ∠BCD = z. Since BD⊥AC ∴ ∠ADB = ∠CDB = 900 Now, in ∆ABD ...Read More »
Problem: Prove that opposite angles of a quadrilateral are equal to each other then it is a parallelogram. General enunciation: we have to prove that, if opposite angles of a quadrilateral are equal to each other then it is a parallelogram. Particular enunciation: Let ABCD is a quadrilateral. Here ∠B=∠D ...Read More »
1.Define interior and exterior of an angle. The set of all points lying in the plane on the side C of AB and B side of AC is the interior region of the angle ∠BAC. The set of all points not lying in the interior region or on any arm ...Read More »
Prove that the angle opposite the greatest side of a triangle is also the greatest angle of that triangle.
Problem: Prove that the hypotenuse of a right angled triangle is the greatest side. Solution: General enunciation: We have to prove that the hypotenuse of a right angled triangle is the greatest side. Particular enunciation: Let ∆ABC be right angled triangle in which ∠ABC = right angle or 900 and ...Read More »
Angle: An angle is a figure formed by two rays with a common end point. The common end point is called the vertex of the angle and the rays are called sides of the angle Acute angle: An acute angle is an angle whose measure is greater than 00, but ...Read More »