Triangle Area Calculation Using Base and Height

To find the area of a triangle, we use the formula relating its base and height. The problem provides the length of one side (which can serve as the base) and the corresponding perpendicular height.

Identify Given Values

• Base ($b$): 15 cm
• Height ($h$): 6 cm

Apply Area Formula

The formula for the area of a triangle is:

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

In LaTeX notation:

$ A = \frac{1}{2} b h $

Calculate the Area

Substitute the given values into the formula:

$ A = \frac{1}{2} \times 15 \text{ cm} \times 6 \text{ cm} $

First, multiply the base and height:

$ 15 \times 6 = 90 $

So the equation becomes:

$ A = \frac{1}{2} \times 90 \text{ cm}^2 $

Now, multiply by $\frac{1}{2}$ (or divide by 2):

$ A = 45 \text{ cm}^2 $

Conclusion

The calculated area of the triangle is 45 square centimeters.