FutureStarr

Calculating the Area of a Triangle

# Calculating the Area of a Triangle

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The area of a triangle is equal to one half the product of the lengths of its three sides. Let's calculate the area of 50, 100, and 150 centimeters. 1. Half of this triangle is equal to 10 centimeters, so we'll do that first. 2. Half of 10 times 150, is equal to 150 times 10, or 1500. 3. Half of that is equal to 500. 4. Finally, half of that is equal to 250.

### Area

- [Instructor] What is the area of the triangle? And they're talking about this triangle here. And like always, pause this video and see if you can figure it out on your own. Alright, now let's work through it together. So we know that the area of a triangle is going to be equal to one half times our base, times our height. Let me do the height in a different color. Times our height. So what is the length of our base in this scenario? Well the base is this 18 right over here. Let me highlight it. This length right over here is our base. So the base is 18, and what is the height? Well the height we see is six. They give it to us. They don't always give it to you, but in this example they do. So the height is, the height, the height is, I'm having trouble with my pen, is six, so now we just have to compute what one half times 18 times six is. Well let's think about this a little bit. One half times 18 is nine. Nine times six is equal to what? Nine times six is equal to 54. And we're done. This is 54 square units.

- [Instructor] What is the area of the triangle? And they're talking about this triangle here. And like always, pause this video and see if you can figure it out on your own. Alright, now let's work through it together. So we know that the area of a triangle is going to be equal to one half times our base, times our height. Let me do the height in a different color. Times our height. So what is the length of our base in this scenario? Well the base is this 18 right over here. Let me highlight it. This length right over here is our base. So the base is 18, and what is the height? Well the height we see is six. They give it to us. They don't always give it to you, but in this example they do. So the height is, the height, the height is, I'm having trouble with my pen, is six, so now we just have to compute what one half times 18 times six is. Well let's think about this a little bit. One half times 18 is nine. Nine times six is equal to what? Nine times six is equal to 54. And we're done. This is 54 square units. (Source: www.khanacademy.org)

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