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Geometry

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 ...

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Prove that a diagonal of a parallelogram divides it into two congruent triangles.

General enunciation: We have to prove that a diagonal of a parallelogram divides it into two congruent triangles. Particular enunciation: Let the diagonal of the parallelogram ABCD is BD. The diagonal BD divides the parallelogram into two triangles ABD and BCD. We have to prove that ∆ABD ≅ ∆BCD Proof: ...

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