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The area of the triangle with vertices (-5,-1), (3,-5) and (5,2) is:

Class 10Area of a Triangle (Coordinates)Geometry — Coordinates

A32 sq units
B16 sq units
C64 sq units
D24 sq units

Step-by-Step Solution

Area =

\frac{1}{2} ∣ (- 5) ((- 5) - 2) + 3 (2 - (- 1)) + 5 ((- 1) - (- 5)) ∣ = \frac{1}{2} ∣35 + 9 + 20∣ = \frac{1}{2}

(64) = 32 sq units.

Answer: A) 32 sq units

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