Calculate Triangle Area: Right Triangle with Base 7 and Height 4

Calculate the area of the triangle, if possible.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the area of the triangle
00:02 Apply the formula for calculating triangle area
00:05 (base x height) divided by 2
00:07 Substitute in the relevant values according to the given data and solve to find the area
00:10 This is the solution

Step-by-step written solution

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1

Understand the problem

Calculate the area of the triangle, if possible.

777444

2

Step-by-step solution

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

  • Step 1: Identify the base and height of the triangle.
  • Step 2: Substitute these values into the formula for the area of a triangle.
  • Step 3: Perform the calculation to determine the area.

Let's work through each step:

Step 1: From the given information, the base of the triangle is 7 units, and the height is 4 units.

Step 2: We'll use the formula for the area of a triangle:
Area=12×base×height \text{Area} = \frac{1}{2} \times \text{base} \times \text{height}

Step 3: Plugging in the values for the base and height, we have:
Area=12×7×4 \text{Area} = \frac{1}{2} \times 7 \times 4

Performing the multiplication, we get:
Area=12×28=14 \text{Area} = \frac{1}{2} \times 28 = 14

Therefore, the area of the triangle is 14\textbf{14} square units.

3

Final Answer

14

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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