Question

a right triangle has the dimensions shown, in centimeters (cm). what is the area of this triangle, in cm²?

Explanation:

Step1: Recall the formula for the area of a right - triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). For a right - triangle, the two legs (the sides forming the right angle) can be considered as the base and the height.

Step2: Identify the base and height

In the given right - triangle, the lengths of the two legs are \(b = 8\space cm\) and \(h=6\space cm\)

Step3: Calculate the area

Substitute \(b = 8\) and \(h = 6\) into the formula \(A=\frac{1}{2}\times b\times h\). So, \(A=\frac{1}{2}\times8\times6\). First, calculate \(8\times6 = 48\), then \(\frac{1}{2}\times48=24\)

Answer:

\(24\)