Calculate Triangle Area: Using Base 10 and Height 2

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

101010222AAABBBCCC

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Step-by-step video solution

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00:05 Let's find the area of this triangle.
00:08 Multiply the height by the base, then divide by 2.
00:11 That's how we use the formula to calculate the area of a triangle.

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.

101010222AAABBBCCC

2

Step-by-step solution

To solve the problem of finding the area of triangle ABC \triangle ABC , we follow these steps:

  • Step 1: Identify the given measurements.
  • Step 2: Use the appropriate formula for the area of a triangle.
  • Step 3: Calculate the area using these measurements.

Let's go through each step in detail:
Step 1: From the figure, the base AB=10 AB = 10 and height AC=2 AC = 2 .
Step 2: The formula for the area of a triangle is: Area=12×base×height \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} .
Step 3: Substituting the known values into the formula, we get:

Area=12×10×2=12×20=10 \text{Area} = \frac{1}{2} \times 10 \times 2 = \frac{1}{2} \times 20 = 10

Therefore, the area of triangle ABC \triangle ABC is 10.

3

Final Answer

10

Practice Quiz

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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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