Calculate Triangle Area: Right Triangle with Height 10 and Base 8

Calculate the area of the following triangle:

To solve this problem, we'll follow these steps:

• Step 1: Identify the given dimensions: the base $BC = 8$ units, and the height $AE = 10$ units.
• Step 2: Apply the triangle area formula: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$.
• Step 3: Perform the calculations using the identified dimensions.

Now, let's work through each step:

Step 1: We have the base $BC = 8$ units and the height from $A$ to $BC$, which is $AE = 10$ units.

Step 2: Using the formula for the area of a triangle, we write:

Step 3: Plugging in our values, we calculate:

Therefore, the area of the triangle is 40 square units.