Question

3)
8
10
6 (triangle diagram)

Explanation:

Step1: Identify the triangle type

This is a right - triangle (since \(6^{2}+8^{2}=36 + 64=100 = 10^{2}\), satisfying Pythagoras theorem \(a^{2}+b^{2}=c^{2}\) for right - triangles).

Step2: Calculate the area of the right - triangle

The formula for the area of a right - triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base can be \(6\) and the height can be \(8\).
So, \(A=\frac{1}{2}\times6\times8\)
\(A = 3\times8\)
\(A=24\)

Answer:

The area of the triangle is \(24\).