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Question
write an equation for the area, a, of the triangle shown.
Step1: Recall triangle area formula
The formula for the area of a triangle is $A = \frac{1}{2} \times \text{base} \times \text{height}$.
Step2: Identify base and height
From the diagram, the base is $10\ \text{m}$ and the corresponding height is $6\ \text{m}$.
Step3: Substitute values into formula
Substitute base $=10$ and height $=6$ into the formula:
$A = \frac{1}{2} \times 10 \times 6$
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$A = \frac{1}{2} \times 10 \times 6$ (or simplified as $A=30$, but the required equation is $\boldsymbol{A = \frac{1}{2} \times 10 \times 6}$)