99 POINTS!!!!What is the area of the triangle in the coordinate plane? 26 units² 33 units² 36 units² 66 units² The figure contains a right triangle in the first quadrant of a coordinate plane. Vertices of the triangle are located at begin ordered pair 2 comma 5 end ordered pair, begin ordered pair 13 comma 11 end ordered pair, and begin ordered pair 13 comma 5 end ordered pair.
Accepted Solution
A:
let A(2,5) B(13,11) C(13,5)
using a graph tool see the attached figure
area of triangle=AC*BC/2 distance AC d=√[(y2-y1)²+(x2-x1)²-----> d=√[(5-5)²+(13-2)²---> d=√[11²] dAC=11 units
distance BC d=√[(y2-y1)²+(x2-x1)²-----> d=√[(5-11)²+(13-13)²---> d=√[-6²] dBC=√36 units-----> dBC=6 units
area of triangle=AB*BC/2-----> 11*6/2----> 33 units²