Question

6 multiple choice 5 points the triangle has a height of 6 kilometers and a base of 14 kilometers. what is the area of the triangle? 168 km² 21 km² 42 km² 84 km²

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.

Step2: Substitute the given values into the formula

Given \(b = 14\) km and \(h=6\) km. Then \(A=\frac{1}{2}\times14\times6\).
First, calculate \(14\times6 = 84\). Then \(A=\frac{1}{2}\times84\).

Step3: Simplify the expression

\(\frac{1}{2}\times84=42\) \(km^{2}\)

Answer:

\(42\) \(km^{2}\) (the option \(42\ km^{2}\) is correct)