Question

the point O and A (0,0) and (-2,5) respectively. Given that point B lies on a line that is parallel to the x-axis and passes through A, find the two possible coordinates of B, if the area of triangle OAB is 10 square units

Answer 1

Finding x coordinate of B :

$10 = \frac{1}{2} \times (5 - 0) \times (x - 0)$

$20 = 5x$

$\sf x \: \: coordinate \: \: \: of \: \: \: is \: \: \pink{\bf4}$

and, Now finding y coordinate of B :

$10 = \frac{1}{2} \times( y - 0) \times (0 + 2)$

$y = 10$

$\sf y \: \: coordinate \: \: \: of \: \: \: is \: \: \pink{ \bf10}$

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The possible coordinate of B is (4,10) .

Answer 2

Step-by-step explanation:

$\fcolorbox{blue}{azure}{Answer}$

Finding x coordinate of B :

$\sf y \: \: coordinate \: \: \: of \: \: \: is \: \: \pink{ \bf10}$

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The possible coordinate of B is (4,10) .