Calculate Triangle Area: Right Triangle with Base 7 and Height 5

Calculate the area of the triangle below, if possible.

8.68.68.6777555

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 If possible, calculate the triangle's area
00:03 Apply the formula for calculating the triangle's area
00:06 (base x height) divided by 2
00:09 Substitute in the relevant values according to the given data and proceed to solve for the area
00:12 This is the solution

Step-by-step written solution

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1

Understand the problem

Calculate the area of the triangle below, if possible.

8.68.68.6777555

2

Step-by-step solution

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

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

Now, let's work through each step:
Step 1: The base of the triangle is given as 7 units, and the height is given as 5 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 our values, we have:
Area=12×7×5=12×35=17.5 \text{Area} = \frac{1}{2} \times 7 \times 5 = \frac{1}{2} \times 35 = 17.5 .

Therefore, the area of the triangle is 17.5 17.5 square units.

3

Final Answer

17.5

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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