Using determinants, find the area of the triangle with vertices (– 3, 5), (3, – 6) and (7, 2).

Question

Philoid · Accepted Answer

Given: – Vertices are (– 3, 5), (3, – 6) and (7, 2)

Tip: – If vertices of a triangle are (x₁,y₁), (x₂,y₂) and (x₃,y₃), then the area of the triangle is given by:

Now,

Substituting given value in above formula

Expanding along R₁

⇒

⇒ Δ = 46 sq. units