Question

which expression represents the area of the shaded triangle?
\\(\frac{1}{2}\times(5.7)\times(4.3)\\)
\\(\frac{1}{2}\times(6.2)\times(4.3)\\)
\\(\frac{1}{2}\times(6.2)\times(1.9)\\)
\\(\frac{1}{2}\times(5.7)\times(1.9)\\)

Explanation:

Step1: Recall the formula for the area of a triangle

The area of a triangle is given by \(A=\frac{1}{2}\times base\times height\).

Step2: Identify the base and height of the shaded triangle

For the shaded triangle, the base is \(5.7\) m and the height is \(1.9\) m.

Step3: Substitute the values into the formula

Substituting the values of base (\(b = 5.7\)) and height (\(h=1.9\)) into the formula \(A=\frac{1}{2}\times b\times h\), we get \(A = \frac{1}{2}\times(5.7)\times(1.9)\).

Answer:

\(\frac{1}{2}\times(5.7)\times(1.9)\)