Triangle sba has coordinate s(15,-8), b(-2,21), a(0,0). if the height of the triangle for the corresponding base sb is 8.89 units, then determine the perimeter and area of sba.

Perimeter of triangle = 71.72 unit.

Area of triangle = 149.44 unit²

Explanation:

 Distance between (a,b) and (c,d) = .

 So we have  SB = unit

                       BA = unit

                       AS = unit

 So perimeter of triangle = 33.62 + 21.10 + 17 = 71.72 unit.

  We have SB = Base = 33.62 unit and Perpendicular height = 8.89 units.

  Area = 0.5 x Base x Perpendicular height.

           = 0.5 x 33.62 x 8.89 = 149.44 unit²

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