Question

The line x - 2y = 3 intersects the line y = k at A, and crosses the x-axis at B. If C is (0,k) and ZABC = 90°, find

(i) the coordinates of B,
(ii) the value of k,
(iii) the coordinates of A,
(iv) the area of triangle ABC

Answer 1

Explanation:

(i). B(3, 0)

(ii). k = 6

(iii). A(15, 6)

(iiii).
`A_(ABC)` = 45 unit²