Find the area of a triangle with base 8 cm and height 4 cm?
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The area of a triangle is given by the formula: Area equals one-half times base times height. This formula works because a triangle can be thought of as half of a parallelogram or rectangle.
The base of a triangle can be any of its three sides. The height is always the perpendicular distance from the chosen base to the opposite vertex. No matter which side we choose as the base, the area will be the same.
Now let's apply the formula to a specific problem. We have a triangle with a base of 8 centimeters and a height of 4 centimeters. Our goal is to calculate its area using the formula we just learned.
Let's calculate the area step by step. First, we write down the formula: Area equals one-half times base times height. Next, we substitute the given values: one-half times 8 times 4. Then we multiply 8 by 4 to get 32. Finally, we multiply 32 by one-half to get 16. So the area is 16 square centimeters.
The area of our triangle is 16 square centimeters. We can verify this by visualizing the triangle as half of a rectangle with dimensions 8 centimeters by 4 centimeters. The area of the rectangle would be 8 times 4, which is 32 square centimeters. Since the triangle is half of this rectangle, its area is half of 32, which is indeed 16 square centimeters.