Question 137

What is the area of the triangle formed by points (0,0), (3,4),(4,3) ?

Solution

Points O(0,0) , A(3,4) and B(4,3)

Area of $$\triangle$$ OAB = $$|\frac{x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)}{2}|$$

= $$|\frac{0(4-3)+3(3-0)+4(0-4)}{2}|$$

= $$|\frac{9-16}{2}|=\frac{7}{2}$$ sq. units

=> Ans - (B)

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