Calculate Triangle Area: Finding Space with Base 6.5 and Height 3

Question

Calculate the area of the following triangle:

6.56.56.5333AAABBBCCCEEE

Video Solution

Solution Steps

00:00 Calculate the triangle's area
00:02 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
00:25 This is the solution

Step-by-Step Solution

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

  • Step 1: Identify the given base and height.
  • Step 2: Apply the formula for the area of a triangle.
  • Step 3: Perform the calculation to find the area.

Now, let's work through each step:
Step 1: The base of the triangle is 6.5 6.5 and the height is 3 3 .
Step 2: We'll use the formula for the area of a triangle, given by: Area=12×base×height \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} .
Step 3: Plugging in our values, we get:

Area=12×6.5×3=12×19.5=9.75 \text{Area} = \frac{1}{2} \times 6.5 \times 3 = \frac{1}{2} \times 19.5 = 9.75

Therefore, the area of the triangle is 9.75\boxed{9.75}.

Answer

9.75