Q. 11 A4.0( 6 Votes )

# The area of triangular region formed by three points (0, 4), (0, 0) and (–6, 0) is

A. 24 sq. unit

B. 12 sq. unit

C. 6 sq. unit

D. 8 sq. unit

Answer :

If we plot these points roughly on the coordinate axis we can see that it’s a right angled triangle with base = 6 units and height = 4 units

Thus, area = × base × height

⇒ area = × 6 × 4 = 12 unit^{2}

Another method is to use the formula.

Area = × [x_{1}(y_{2} – y_{3}) + x_{2}(y_{3} – y_{1}) + x_{3}(y_{1} – y_{2})]

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