If the vertices of a triangle are (-2,6)(3,-6) and (1,5), then the area of the triangle is

Question

If the vertices of a triangle are (-2,6)(3,-6) and (1,5), then the area of the triangle is (A) 40 sq. units (B) 30 sq. units (C) 15.5 sq. units (D) 35 sq. units

Tardigrade Admin · Accepted Answer

Δ=(1/2)|-2-3 -2-1 6+6 6-5|=(1/5)|-5 -3 12 1| =(1/2)|-5+36|=(31/2)=15.5

Q. If the vertices of a triangle are $(- 2, 6) (3, - 6)$ and $(1, 5)$ , then the area of the triangle is

40 sq. units

30 sq. units

15.5 sq. units

35 sq. units

$Δ = \frac{1}{2} ∣ ∣ - 2 - 3 6 + 6 - 2 - 1 6 - 5 ∣ ∣ = \frac{1}{5} ∣ ∣ - 5 12 - 3 1 ∣ ∣$
$= \frac{1}{2} ∣ - 5 + 36∣ = \frac{31}{2} = 15.5$

Q. If the vertices of a triangle are (−2,6)(3,−6) and (1,5), then the area of the triangle is