Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The area (in sq units) of the triangle formed by joining the points (3, 0), (0, 6) and (-5, 0) is

Options:

6

12

24

18

Correct Answer:

24

Explanation:

Area of the triangle having vertices on the points (x1, y1), (x2, y2) and (x3, y3) = (1/2) × [x1 (y2 - y3) + x(y3 - y1) + x3 (y1 - y2)]

Area of the triangle with vertices (3, 0), (0, 6) and (-5, 0)

= (1/2) × [3(6 - 0) + 0(0 - 0) + (-5)(0 - 6)]

= (1/2) × [18 + 0 + 30]

= (1/2) × 48 = 24