calculating the area of a triangle\nfind the area of the triangle def.\narea = square units
calculating the area of a triangle\nfind the area of the triangle def.\narea = square units
Answer
Answer:
48
Explanation:
Step1: Identify base and height
Let's assume the base is the horizontal distance between two points. If we consider the line segment between the x - coordinates of two points on the base of the triangle. Let's take the points on the x - axis for simplicity. The base $b$ of the triangle can be found by the difference in x - coordinates. The x - coordinate of one point on the base is - 8 and the other is 8, so $b=\vert-8 - 8\vert=16$. The height $h$ is the vertical distance from the opposite vertex to the base. The y - coordinate of the vertex above the base is 6 and the y - coordinate of the vertex below the base is - 6, so $h = 6-(-6)=12$.
Step2: Apply area formula
The area formula of a triangle is $A=\frac{1}{2}bh$. Substitute $b = 16$ and $h = 6$ into the formula: $A=\frac{1}{2}\times16\times6=48$.