Question

find the area find the area of a triangle whose vertices are - 5 - 1 and 3 - 5 and 5, 2​

Answer 1

Answer:

area of triangle ABC

X1=-5,Y1= -1,X2=3 ,Y2=-5, X3=5,Y3=2

1/2(X1(Y2-Y3)+X2(Y3-Y1)+X3(Y1-Y2))

= 1/2(-5(-5-2)+3(2-(-1))+5(-1-(-5)))

=1/2(-5(-7)+3(3)+5(4))

1/2 (35+9+20)

1/2(29+35)

=1/2(64)

=32square unit

hence area of triangle ABC is 32 square unit