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?
+128475 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)
