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How Do You Calculate the Area of a Right Triangle Using the Base and Height?

Calculating the area of a right triangle is pretty easy! You just need to know a simple formula.

Formula for Area:

The area ( A ) of any triangle can be found using this formula:

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

Steps to Calculate the Area:

  1. Find the base and height:

    • In a right triangle, the base and height are the two sides that make a right angle.
    • You can pick one side to be the base and the other to be the height. It doesn't matter which way you choose them, as long as they meet at a right angle.
  2. Multiply the base and height:

    • Let’s say your base is ( b ) and your height is ( h ). Now, you just need to multiply these two numbers:
    b×hb \times h
  3. Divide by 2:

    • After multiplying, take the number you got and divide it by 2 to find the area:
    A=12×(b×h)A = \frac{1}{2} \times (b \times h)

Example:

  • Imagine your base is 5 units long and your height is 12 units tall. Here’s how it would look:
A=12×5×12=12×60=30A = \frac{1}{2} \times 5 \times 12 = \frac{1}{2} \times 60 = 30

So, the area of the triangle would be 30 square units.

This way of finding the area is not just easy, it’s also something you can picture! You can see the right triangle and how the base and height fit together. It’s one of the first things we learn about triangles, and it really helps us understand geometry better!

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How Do You Calculate the Area of a Right Triangle Using the Base and Height?

Calculating the area of a right triangle is pretty easy! You just need to know a simple formula.

Formula for Area:

The area ( A ) of any triangle can be found using this formula:

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

Steps to Calculate the Area:

  1. Find the base and height:

    • In a right triangle, the base and height are the two sides that make a right angle.
    • You can pick one side to be the base and the other to be the height. It doesn't matter which way you choose them, as long as they meet at a right angle.
  2. Multiply the base and height:

    • Let’s say your base is ( b ) and your height is ( h ). Now, you just need to multiply these two numbers:
    b×hb \times h
  3. Divide by 2:

    • After multiplying, take the number you got and divide it by 2 to find the area:
    A=12×(b×h)A = \frac{1}{2} \times (b \times h)

Example:

  • Imagine your base is 5 units long and your height is 12 units tall. Here’s how it would look:
A=12×5×12=12×60=30A = \frac{1}{2} \times 5 \times 12 = \frac{1}{2} \times 60 = 30

So, the area of the triangle would be 30 square units.

This way of finding the area is not just easy, it’s also something you can picture! You can see the right triangle and how the base and height fit together. It’s one of the first things we learn about triangles, and it really helps us understand geometry better!

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