Geometryhard · Past Paper
If the area of a triangle with vertices (k, 0), (4, 0), and (0, 2) is 4 square units, then k is:
A0 or 8
B0
C8
D2
✓ Correct Answer: A — 0 or 8
0.5 * |k(0-2) + 4(2-0) + 0(0-0)| = 4 => |-2k + 8| = 8. So -2k+8 = 8 (k=0) or -2k+8 = -8 (k=8).
Share this question
More from Geometry
- If two adjacent angles on a straight line are (3x - 5) and (x + 25), find the value of x.
- If the base and height of a triangle are 10 cm and 6 cm respectively, what is its area?
- Which of the following points lies on the line y = 2x + 1?
- If the length of an arc of a circle of radius 14 cm is 22 cm, find the central angle subtended by it.
- What is the length of the longest chord of a circle with radius 5.5 cm?