Question

area of triangles
what expression represents the area of the triangle?
\\( \frac { 1 } { 2 } \times 10 \times 24 \times 26 \\)
\\( \frac { 1 } { 2 } \times 24 \times 26 \\)
\\( \frac { 1 } { 2 } \times 10 \times 26 \\)
\\( \frac { 1 } { 2 } \times 10 \times 24 \\)

Explanation:

Step1: Recall the area formula for a right - triangle

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

Step2: Identify the base and height

In a right - triangle, the two legs (the sides forming the right - angle) can be considered as the base and height. Here, the lengths of the legs are \(10\) and \(24\).

Step3: Substitute into the formula

Substitute \(base = 10\) and \(height=24\) into the formula \(A=\frac{1}{2}\times base\times height\). We get \(A=\frac{1}{2}\times10\times24\).

Answer:

\(\frac{1}{2}\times10\times24\)