Question

area of triangles and parallelograms. what is the area of triangle lmn?

Explanation:

Step1: Identify base and height

From the graph, assume the base is the horizontal distance between two points of the triangle. If we consider the line segment between two of the triangle's vertices along the x - axis related direction. Let's say we take the base $b$ from point $L$ to a point on the vertical line through $M$ parallel to the y - axis. The base $b = 3$ units. The height $h$ from the third vertex to this base is $2$ units.

Step2: Apply triangle area formula

The formula for the area of a triangle is $A=\frac{1}{2}bh$. Substitute $b = 3$ and $h = 2$ into the formula: $A=\frac{1}{2}\times3\times2$.

Step3: Calculate the area

$A=\frac{1}{2}\times3\times2= 3$ square units.

Answer:

3 square units