Question

question 8
what is the area of a triangle with vertices at (0, 0), (4, 0), and (4, 3) on the coordinate plane?
○ 6 square units
○ 12 square units
○ 5 square units
○ 7 square units

Explanation:

Step1: Identify base length

The points (0,0) and (4,0) form the base. The length is $4 - 0 = 4$ units.

Step2: Identify height length

The vertical distance from (4,3) to the base (x-axis) is $3 - 0 = 3$ units.

Step3: Calculate triangle area

Use area formula: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$
$\text{Area} = \frac{1}{2} \times 4 \times 3 = 6$

Answer:

6 square units