Question

16. If A(4,0), B(0, y) and AB = 5, then find the possible value of 'y'.
17. What is centroid of a triangle ?
18. If(0, 0), (2,0), (3, 0) are the vertices of a triangle, then find its area.
19. If the slope of the line joining the points (3,-5), (K, 10) is 5, then ind 'K'.

Note: 1. Answer all the Questions.
2. Each Question carries 2 Mark
an you draw a triangle with vertices (1,5 ), (5,8) and (13, 14)? Give reason.
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Answer 1

16.

$\sqrt{(0 - 4) {}^{2} + (y - 0) {}^{2} } = 5 \\ 16 + y {}^{2} = 25 \\ y { }^{2} = 9 \\ y = 3$

17.

$\frac{(x1 + x2 + x3)}{3} + \frac{(y1 + y2 + y3)}{3}$

18.

$\frac{1}{2} |0(0 - 0) + 2(0 - 0) + 3(0 - 2) \\ \frac{1}{2} | 0 + 0 - 6 | \\ \frac{1}{2} \times 6 \\ = 3$