Question

What is the area of a triangle whose vertices are (0,4), (0,0) and (3,0)?

• A. 6 square units
• B. 8 square units
• C. 12 square units
• D. 10 square units

Answer 1

The correct option is A

6 square units

Given the vertices of the triangle are (0,4), (0,0), (3,0).

Now (0,4) lies on Y-axis, (3,0) lies on X-axis and (0,0) is origin. So this triangle is a right-angled triangle.

Now the distance between (0,0) and (0,4) = 4 units and distance between (0,0) and (3,0) = 3 units

Area of given triangle

$=\frac{1}{2}\times 3\times 4$

= 6 square units