The area (in sq units) of the triangle formed by joining the points (3, 0), (0, 6) and (-5, 0) is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 24
Two of the points, (3, 0) and (−5, 0), lie on the x-axis, so the triangle’s base lies on the x-axis and its height is the distance of (0, 6) from that axis. Area = \(\displaystyle\frac{1}{2}\times\text{base}\times\text{height}\).
Base \(=3-(-5)=8\) units
Height \(=6\) units
Area \(\displaystyle=\frac{1}{2}\times8\times6=\) 24 sq units
