Question

1. write an equation for the area, a, of the triangle shown.

a = \frac{1}{2} \cdot 10 \cdot 6
now find the area of the triangle.
a = \boxed{7} m²

Explanation:

Step1: Identify area formula for triangle

The area of a triangle is given by $A=\frac{1}{2} \times \text{base} \times \text{height}$.

Step2: Substitute given values

Here, base $=10\ \text{m}$, height $=6\ \text{m}$. Substitute into formula:
$A=\frac{1}{2} \times 10 \times 6$

Step3: Calculate the product

First compute $10 \times 6 = 60$, then multiply by $\frac{1}{2}$:
$A=\frac{1}{2} \times 60 = 30$

Answer:

$30$ $\text{m}^2$