Question

which expression represents the area of the shaded triangle? image of a triangle with labeled sides: 7.2 m, 6.2 m, 5.7 m, 1.9 m, 2.4 m options: \\( \frac{1}{2} \times (6.2) \times (1.9) \\), \\( \frac{1}{2} \times (5.7) \times (1.9) \\), \\( \frac{1}{2} \times (6.2) \times (4.3) \\), \\( \frac{1}{2} \times (5.7) \times (4.3) \\)

Explanation:

Step1: Recall the formula for the area of a triangle

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

Step2: Identify the base and height of the shaded triangle

The base of the shaded triangle is \(1.9\) m and the height is \(6.2\) m.

Step3: Substitute the values into the formula

Substituting base \( = 1.9\) and height \(=6.2\) into \(A = \frac{1}{2}\times base\times height\), we get \(A=\frac{1}{2}\times(6.2)\times(1.9)\).

Answer:

\(\frac{1}{2}\times(6.2)\times(1.9)\) (the first option)