Find the area of the triangle with vertices at the points:
(– 1, – 8), (– 2, – 3) and (3, 2)

Question

Find the area of the triangle with vertices at the points: (– 1, – 8), (– 2, – 3) and (3, 2)

Philoid · Accepted Answer

Given: – Vertices of the triangle:

(– 1, – 8), (– 2, – 3) and (3, 2)

We know that,

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

sq.units

as area cannot be negative

Therefore, 15 sq.unit is the area

Thus area of triangle is 15 sq.units

Find the area of the triangle with vertices at the points:(– 1, – 8), (– 2, – 3) and (3, 2)