Simple but powerful inequality

A very simple but powerful #inequality you must know at #school level! This can be simply proved by the fact that the square of a real number is always non-negative.

 #Solution: https://t.me/PrimeMaths/33

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A very simple but powerful #inequality you must know at #school level! #Solution: https://t.me/PrimeMaths/33 #Mathematics #Algbera #HighSchool #learning #PrimeMaths #Math #Square

A post shared by Prime Maths (@prime.maths) on Jul 7, 2020 at 7:19am PDT

incentre of Orthic Triangle:

In ∆ABC, let D, E, F denote the feet of the #altitudes from A, B and C respectively. The DEF is called the #orthic #triangle of ABC. Prove that H is the #incenter of △DEF.

#Solution: https://t.me/PrimeMaths/38

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In ∆ABC, let D, E, F denote the feet of the #altitudes from A, B and C respectively. The DEF is called the #orthic #triangle of ABC. Prove that H is the #incenter of △DEF. #PrimeMaths #geometry #maths #mathematics #Solution: https://t.me/PrimeMaths/38

A post shared by Prime Maths (@prime.maths) on Jul 10, 2020 at 8:31am PDT

Interesting Property of a Trapezium

Prove that the straight line that passes through the point of intersection of the diagonals of a trapezium and through the point of intersection of its non-parallel sides, bisects each of the parallel sides of the trapezium.