Question

what is the area of triangle hgf? round your answer to the nearest tenth of a square centimeter. recall that you round up if the value of the hundredth is 5 or greater.
g
3.6 cm
5.4 cm
3.0 cm
h
6.5 cm
f
cm²

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

From the diagram, the base \(HF = 6.5\) cm and the height (the perpendicular segment from \(G\) to \(HF\)) is \(3.0\) cm.

Step3: Substitute the values into the formula

Substitute \(base = 6.5\) and \(height=3.0\) into \(A=\frac{1}{2}\times base\times height\).

$$
LATEXBLOCK0
$$

Step4: Round to the nearest tenth

Since the hundredth digit is \(5\), we round up the tenth digit. \(9.75\approx9.8\)

Answer:

\(9.8\)