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Step-by-Step Proof 🔥🔺 Altitudes of a triangle are concurrent (all 3 altitudes meet at same point)
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Welcome to our educational channel #mathemafia. In this video, we will prove a fundamental theorem of geometry:
*All three altitudes of a triangle are concurrent (meet at the same point called Orthocenter).*
*What is the Orthocenter Concurrency Theorem or Orthocenter Theorem?*
This theorem states that all three altitudes (lines drawn from every vertex of the triangle perpendicular to the opposite side) of a triangle intersect meet at the same point known as *Orthocenter*.
*Prerequisite*
*What You Can Expect:*
*Intuitive Visuals:* We have used clear, visual representations (colourful triangles) that help you visualise and understand the proof with utmost clarity. Double coloured (red and black) stylus has been used to visually segregate the different parts of the proof.
*Step-by-Step Guidance:* This video tutorial includes a very detailed explanation of the theorem with all parts explained and solved separately.
*Interactive Learning:* Feel free to increase or decrease the pace of the video that suits to your style of learning. It is always recommended to pause the video in between to grasp the concept whenever you feel it bit heavy.
Don't forget to like, share, and subscribe for more engaging educational content.
After all, *Sharing is Caring* :)
#GeometryTheorems
#Mathematics
#TriangleProperties
#orthocenter
#OrthocenterTheorem
#GeometryProof
#MathEducation
#TriangleGeometry
#MathematicalTheorems
#altitudes
#altitudesofatriangle
#mathemafia
#sunilsyal
*Chapters:*
00:00 About this theorem
02:11 Construction of a bigger triangle
03:43 Finding parallelograms & mid-points of sides of bigger triangle
08:56 Applying Perpendicular bisector theorem of concurrency
11:30 Finally proving altitudes are concurrent
*All three altitudes of a triangle are concurrent (meet at the same point called Orthocenter).*
*What is the Orthocenter Concurrency Theorem or Orthocenter Theorem?*
This theorem states that all three altitudes (lines drawn from every vertex of the triangle perpendicular to the opposite side) of a triangle intersect meet at the same point known as *Orthocenter*.
*Prerequisite*
*What You Can Expect:*
*Intuitive Visuals:* We have used clear, visual representations (colourful triangles) that help you visualise and understand the proof with utmost clarity. Double coloured (red and black) stylus has been used to visually segregate the different parts of the proof.
*Step-by-Step Guidance:* This video tutorial includes a very detailed explanation of the theorem with all parts explained and solved separately.
*Interactive Learning:* Feel free to increase or decrease the pace of the video that suits to your style of learning. It is always recommended to pause the video in between to grasp the concept whenever you feel it bit heavy.
Don't forget to like, share, and subscribe for more engaging educational content.
After all, *Sharing is Caring* :)
#GeometryTheorems
#Mathematics
#TriangleProperties
#orthocenter
#OrthocenterTheorem
#GeometryProof
#MathEducation
#TriangleGeometry
#MathematicalTheorems
#altitudes
#altitudesofatriangle
#mathemafia
#sunilsyal
*Chapters:*
00:00 About this theorem
02:11 Construction of a bigger triangle
03:43 Finding parallelograms & mid-points of sides of bigger triangle
08:56 Applying Perpendicular bisector theorem of concurrency
11:30 Finally proving altitudes are concurrent
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