A triangle has an area of 54 m² and a height of 9 m.

Question

How long is the base of the triangle?

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m

Answer 1

To find the length of the base of a triangle, you can use the area formula for a triangle:

\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]

In this case, you know the area (54 m²) and the height (9 m). Let's denote the base as \( b \).

Plugging in the values into the formula gives:

\[ 54 = \frac{1}{2} \times b \times 9 \]

Now, solve for \( b \):

1. First, multiply both sides by 2 to eliminate the fraction:

\[ 108 = b \times 9 \]

2. Next, divide both sides by 9:

\[ b = \frac{108}{9} = 12 \]

So, the length of the base of the triangle is:

\[ \boxed{12} \text{ m} \]