Question

find the area of \\( \triangle abc \\) in each of the following drawings.
a. b.
a. the area of the triangle is \\( 59.5 \mathrm{~cm}^{2} \\).
(type an integer or a decimal.)
b. the area of the triangle is \\( \square \\)
(type an integer or a decimal.)

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 for part b

For part b, the base \(b = 6\space cm\) and the height \(h=2\space cm\).

Step3: Substitute the values into the formula

Substitute \(b = 6\) and \(h = 2\) into \(A=\frac{1}{2}\times b\times h\). So, \(A=\frac{1}{2}\times6\times2\).
First, calculate \(6\times2 = 12\). Then, \(\frac{1}{2}\times12=6\).

Answer:

\(6\)