Question

a triangle has a base of 4 m and a height of 3 m. find the area of the triangle in square millimeters.
the area of the triangle is \\(\square\\) \\(\text{mm}^2\\).

Explanation:

Step1: Recall the formula for the area of a triangle

The formula for the area of a triangle is \( A=\frac{1}{2}\times b\times h \), where \( b \) is the base and \( h \) is the height. Here, \( b = 4\space m \) and \( h=3\space m \). First, we calculate the area in square meters.
\( A=\frac{1}{2}\times4\times3 = 6\space m^{2} \)

Step2: Convert square meters to square millimeters

We know that \( 1\space m= 1000\space mm \), so \( 1\space m^{2}=(1000)^{2}\space mm^{2} = 1000000\space mm^{2} \).
To convert \( 6\space m^{2} \) to square millimeters, we multiply by \( 1000000 \):
\( 6\times1000000 = 6000000\space mm^{2} \)

Answer:

\( 6000000 \)