Question

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.

Answer 1

Hello!

I believe the answer is 33 units^2.

I hope it helps!

Answer 2

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

the answer is
33 units²