Question

what is the area of the given triangle given that: h (height) = 3.1 m b (base) = 2.6 m

Explanation:

Step1: Recall triangle area formula

The formula for the area \( A \) of a triangle is \( A=\frac{1}{2}\times\text{base}\times\text{height} \), which can be written as \( A = \frac{1}{2}bh \).

Step2: Substitute values of b and h

We know that \( b = 2.6 \, \text{m} \) and \( h = 3.1 \, \text{m} \). Substituting these values into the formula:
\( A=\frac{1}{2}\times2.6\times3.1 \)

Step3: Calculate the product

First, calculate \( 2.6\times3.1 = 8.06 \). Then, multiply by \( \frac{1}{2} \):
\( A=\frac{8.06}{2}=4.03 \)

Answer:

The area of the triangle is \( 4.03 \, \text{square meters} \) (or \( 4.03 \, \text{m}^2 \)).