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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 30 square units?

 Sep 13, 2018
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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 30 square units?

 

The height of the triangle is  4

 

So

 

Area of  triangle  =  (1/2) base * height

 

30  = (1/2) base * 4      simplify

 

30  = base * 2        divide both sides by 2

 

15  = base

 

The third vertex is   ( -15,  0)

 

 

 

cool cool cool

 Sep 13, 2018

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