Calculate Triangle Area: Finding Area with Base 6 and Height 8

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

666888AAABBBCCC

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the triangle's area
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
00:14 This is the solution

Step-by-step written solution

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1

Understand the problem

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

666888AAABBBCCC

2

Step-by-step solution

To calculate the area of the triangle, we will follow these steps:

  • Identify the base, CB, as 6 units.
  • Identify the height, AC, as 8 units.
  • Apply the area formula for a triangle.

Now, let's work through these steps:

The triangle is a right triangle with base CB=6 CB = 6 units and height AC=8 AC = 8 units.

The area of a triangle is determined using the formula:

Area=12×base×height \text{Area} = \frac{1}{2} \times \text{base} \times \text{height}

Substituting the known values, we have:

Area=12×6×8 \text{Area} = \frac{1}{2} \times 6 \times 8

Perform the multiplication and division:

Area=12×48=24 \text{Area} = \frac{1}{2} \times 48 = 24

Therefore, the area of the triangle is 24 24 square units.

3

Final Answer

24

Practice Quiz

Test your knowledge with interactive questions

Complete the sentence:

To find the area of a right triangle, one must multiply ________________ by each other and divide by 2.

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