Calculate Triangle Area: Right Triangle with Base 10 and Height 9

Question

Calculate the area of the triangle using the data in the figure below.

00:00 Calculate the area of the triangle

00:02 Apply the formula for calculating triangle area

00:04 (base x height) divided by 2

00:07 Substitute in the relevant values according to the given data and proceed to solve to find the area

00:10 This is the solution

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

Now, let's work through each step:

Step 1: We are given that $AC = 9$ (the height) and $BC = 10$ (the base) of the triangle.

Step 2: We'll use the formula for the area of a triangle: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$ .

Step 3: Plugging in our values, we have:

\text{Area} = \frac{1}{2} \times 10 \times 9 = \frac{1}{2} \times 90 = 45.

Therefore, the area of the triangle is $45$ .