Question

Find the area of a triangle whose the vertices are - 5 - 13 - 1 AND 5, 2

Answer 1

Area of triangle is 12 square units.                  

Given

To find the area of a triangle for the given vertices.    

Given vertices : ( - 5, - 1 ), ( 3, - 1 ), ( 5, 2 )

Formula :

              Area of triangle = $\frac{1}{2}$ × $[ x_{1} ( y_{2} - y_{3} ) + x_{2} ( y_{3} - y_{1}) + x_{3} ( y_{1} - y_{2}) ]$

                                         = $\frac{1}{2}$ × $[ ( -5). (-1-2) + (3). (2-(-1))+(5)(-1-(-1))]$

                                         = $\frac{1}{2}$ × $[ (-5).(-3) + (3).(2+1) + (5).(-1+1) ]$

                                         = $\frac{1}{2}$ × $[ 15 + (3).(3) + (5).(0) ]$

                                         = $\frac{1}{2}$ × $[ 15 + 9 ]$

                                         = $\frac{1}{2}$ × $[ 24 ]$

                                         = 12 $unit^{2}$.      

Therefore, area of triangle is 12 square units.

To learn more...

1. brainly.in/question/1549676

2. brainly.in/question/5989221