Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Co-ordinate Geometry

Question:

Find the area (in square units) of a triangle whose vertices are A (2, 4), B (3, 5) and C (-1, 3).

Options:

1

2

3

4

Correct Answer:

1

Explanation:

(x1 ,y1) =  (2, 4),

(x2,y2) = (3, 5) 

(x3 ,y3)= (-1, 3)  

Area of the triangle = [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)]/2

Substitute the values in the formula

⇒ [2(5 – 3) + (3)(3 – 4) + 3(4 - 5)]/2

⇒ [8 - 3 -3]/2 = 1 sq. units