Calculate Triangle Area: Right Triangle with Base 3.5 and Height 4.6

Question

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

3.53.53.55.9665.9665.966AAABBBCCC4.6

Video Solution

Solution Steps

00:00 Calculate the area of the triangle
00:03 Apply the formula for calculating triangle area
00:06 (base x height) divided by 2
00:10 Substitute in the relevant values according to the given data and proceed to solve for the area
00:16 This is the solution

Step-by-Step Solution

To solve this problem, follow these steps:

  • Step 1: Identify the base AB AB and height AC AC of the triangle.

  • Step 2: Apply the formula for the area of a right triangle.

  • Step 3: Calculate the area using the given measurements.

Now, let's proceed:

Step 1: From the problem, the base AB=3.5 AB = 3.5 units, and the height AC=4.6 AC = 4.6 units.
Step 2: The area A A of a right triangle is given by the formula:
A=12×base×height A = \frac{1}{2} \times \text{base} \times \text{height}

Step 3: Plug in the values:
A=12×3.5×4.6 A = \frac{1}{2} \times 3.5 \times 4.6
A=12×16.1 A = \frac{1}{2} \times 16.1
A=8.05 A = 8.05

Therefore, the area of the triangle is 8.05\textbf{8.05} square units.

Answer

8.05