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

Question

Calculate the area of the following triangle:

00:00 Calculate the area of the triangle

00:03 Apply the formula for calculating the area of a triangle

00:06 (base(BC) x height (AE)) divided by 2

00:10 Substitute in the relevant values and proceed to solve

00:22 This is the solution

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:

\text{Area} = \frac{1}{2} \times 8 \times 10

Step 3: Plugging in our values, we calculate:

\text{Area} = \frac{1}{2} \times 80 = 40

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