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Two vertices of an obtuse triangle are (6,4) and (0,0). The third vertex is located on the negative branch of the x-axis. What are the coordinates of the third vertex if the area of the triangle is 80 square units?

 Dec 29, 2020
 #1
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The height of the triangle   is   the y coordinate of (6,4)  =    4

 

So

 

80   = (1/2)  base * height

 

80   =(1/2) base * 4

 

80 =  2 * base

 

80/2  = base  = 40   =   distance from (0,0)  to the third vertex

 

The   third vertex  is  (-40 , 0) 

 

 

cool cool cool

 Dec 29, 2020

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