Question

what is the area of the triangle below? 3 meters 4 meters a 12 m b 12 square m c 6 square m d 6 m

Explanation:

Step1: Recall the area formula for a right - triangle

The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\). For a right - triangle, the two legs can be considered as the base and the height. Here, \(base = 3\) meters and \(height=4\) meters.

Step2: Substitute the values into the formula

Substitute \(base = 3\) and \(height = 4\) into \(A=\frac{1}{2}\times base\times height\). We get \(A=\frac{1}{2}\times3\times4\).
First, calculate \(3\times4 = 12\). Then, \(A=\frac{1}{2}\times12\).
Since \(\frac{1}{2}\times12=6\), and the unit for area is square meters (because we are multiplying two length measurements: meters × meters).

Answer:

C. 6 square m