Given Mid points of a Tringle Find The Coordinates of the Vertices MPM2D

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The midpoints of the sides of a triangle have coordinates A(3, 1),
B(-1, 2) and C(1, -3). Determine the coordinates of the vertices of the triangle #gcse #SAT #EQAO #IBSLmath #midpoint #Mpm2d #coordinategeometry #analyticalgeometry

[@fareesarazzack5909]

The best trick is : if u are doing for the D coordinate then add Point b and point c coordinates, after that subtract your soultion from point A coordinates and u get the same ans. For other points also do the same eg: for coordinate E : add point C and point A then subtract from point B

[@maseelnaqvi]

Hi, I tried your method and it worked. My question is what is the logic behind this method, how did you derive it? Please indicate to me how you discovered this method. Thanks Alot

[@opulo1]

@@maseelnaqvi vector math, point C + vector(AB) for example

[@kaeyaanrashid858]

Holy crap thanks!!!

[@mohitraina8513]

I have proved the same mathematically using class 10 mathematics not vector

[@akshatporwal5082]

easiest way is the centroid of triangle is same for ABC triangle and also for its mid points as it also makes a triangle inside when joined all mid points then use centroid formula by the help of mid points then it will be so easy after u get centroid put it in equation of A B and C

[@harshisharma8431]

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You are in ICSE?

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[@MathematicsTutor]

THANKS FOR APPRECIATION

[@rockstardreamers6477]

Thank you sir

[@asfasheikh2982]

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[@MithunKumar-ps3jy]

The best way, first find the co-ordinate of centroid from mid point then find the co-ordinate of any vertices from section formula,becoz centroid divides median in 2:1

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Es*

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Thanks

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tysm

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[@MathematicsTutor]

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[@greenworld3078]

Two vertex are given of equilateral triangle A(0-8) ,B(6,0) the given Midian (9,3) find the third vertex of the triangle

[@abhishekpandey3173]

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[@vigneshc9825]

More similarly

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Can we solve through graf ?

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great

[@thotakavitha6742]

Sir can you please solve the problem Find the area of triangle formed by the points (0,6) (-4,0) (4,0) by using Algebraic verification method please

[@emanfarid2307]

i’ve done ur question dear😊 D= (4,6) E=(-4,6) F=(-4,6)

[@emanfarid2307]

if u want clear step of it i can send u the pic of steps or i’ll try to type it hear

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*here

[@vigneshc9825]

Its good but sound???

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[@narendermadan4013]

X3 + X1= -1 NOT -2 PLEASE CORRECT IT

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How? -1x2=-1?!

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Boring dosent work

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Wast sir dull explanation slowly explanation worst sir 😆

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[@MathematicsTutor]

Thanks for appreciation