If the points A (1,-2) B (2,3)C (-3,2) D (-4,-3) are the vretices of parallelogram ABCD, then taking AB as the base find the height of the parallelogram

Area of a triangleABC  = 1/2  x1 (y2-y3) + x2 (y3-y1) + x3 (y1-y2)

  = 1/2  1(3-2) + 2(2+2) + (-3)(-2-3)  =  1/2 x 1 + 8 + 15  =  1/2 x 24  =  12

since ABCD is a parallelogram

therefore area of parallelogram ABCD = 2 x area of triangle ABC = 2 x 12 = 24

and AB = root of (2-1)2 + (3+2)2 = root of 1 + 25 = root 26

Now, we know that

Area of a parallelogram = base x height

24 = root 26 + height

or height = 24 - root26

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Area of the triangle ABC

Since ABCD is a parallelogram,

therefore area of parallelogram ABCD = 2 x area of triangle ABC = 2 x 12 = 24 square units

Area of the parallelogram = 

Thus height of the parallelogram = 

Let us find the base AB of the parallelogram.

Thus,

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I need an easy ans pls someone
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zero is right Asha . go according to what zero had posted!!
  • -13
          For Diagram:
                       * Draw a parallelogram ABCD.
                       * Draw DE perpendicular to AB.
                       * Join BD.
                    Note: DE is the height.

             Answer:
                     Now,
                             * b * h = Area of triangle ABD
                            2
                             * AB * DE                                      = Area of triangle ABD
                            2
                            { Root (x2 -x1)2 + (y2 - y1 )2 } * h
                            2
                   =         1 { 1 ( 3 + 3 ) + 2 (-3 + 2  ) + (-4)(-2-3) }
                              2
                              Root 12 + 52   * h = { 6-2+20 }
                                  Root 26   * h  = { 24 }
                                                         h =    24          units.           
                                                                Root 26
               Therefore, Height of the parallelogram =     24        
                                                                                    Root 26   
               I'm sorry for not bringing out the diagram.      
               Hope this helps.    


     
                       

   


          
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Since llgm ABCD and ∆ABC lie on the same base and  the same parallels, thus,
​ar(||gmABCD)=2ar(∆ABC)
 By using the area formula we have,
​Area of a triangle=½|x1(y​2-y3)+x2(y3-y1)+x3(y1-y2)
=½|1(3-2)+2(2+2)+(-3)(-2-3)|
=½|1+8+15|
=½×24=12 square units
Therefore, ar(||gm ABCD)= 2×12 =24 square units


Now,
Using the distance formula we  have,
AB=√(x2-x1)2+(y2-y1)2
=√(2-1)2+(3+2)2
=√1+25
=√26 units
We know that,
Area of a parallelogram=height×base
=>ar(llgm ABCD)=height ×AB
=>24=height ×√26
=>height=24/√26 
=>height=12√26/13 units.                                (rationalizing the denominator)
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 ZERO IS WRONG
  • -12
root 50*root26
 
  • -9
The points A(4, –2), B(7, 2), C(0, 9) and D(–3, 5) form a parallelogram. Find the length of the altitude of the parallelogram on the base AB
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I also need easy ans
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AB = y2 - y1/x2 - x1 = 3 - (-2)/2 - 1 = 5/1 DC = y2 - y1/x2 - x1 = 2 - (-3)/a - (-4) = 2 + 3/a + 4 AC has the same gradient as DC (parallelogram opposite sides) DC = 5/ a + 4 = 5/1 Cross multiply 5 = 5(a + 4) 5 = 5a + 20 5a = -15 a = -3 C (-3,2) Height of parallelogram Using DC D(-4,-3) C(-3,2) Distance formula: √(x2 - x1)^2 + y^2 - y1)^2 √ (-3 - (-4))^2 + (2 - (-3) √(1)^2 + (5)^2 √ 26 = 5.1 units (1 decimal place) Hope this helps :-)
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thanks this answer help me in assingment
 
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24/root 26 is right answer
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24/root 26 is the right answer
  • -4
Height of the parallelogram = 24/root 26
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H= 24/root 26
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HOW TO DO THIS MERITNATION EXPERT PLZZANSWER
 
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PLS HELPPPP
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Ok haha
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Nic aap provider
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If points a(1,-2) b(2,3) c(-3,2) and d(-4,-3) are the vertices of parallelogram abcd then taking ab as base find the height of parallelogram

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answer 
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I hope this helps you!

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answer please...........
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answer please .......
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If the point A 1, - 2, 2, 3, 2 and d - 4 - 3 form a parallelogram find the Value of a and height of the parallelogram
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