Table of Contents
- 1 What does 1/2 mean in area of a triangle?
- 2 How does the area of a triangle change if the base is halved?
- 3 What is the area of a triangle cut in half?
- 4 What is the base of a triangle?
- 5 What is the base and height of a triangle?
- 6 Which is the correct formula for the area of a triangle?
- 7 Why are the two shaded regions of a triangle the same size?
What does 1/2 mean in area of a triangle?
The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
How does the area of a triangle change if the base is halved?
A = B * H (where B is the original base). The area is doubled. If you cut the triangle in half, the area is also cut in half.
What is the area of a triangle cut in half?
A median cuts a triangle in half since the two pieces have the same length side and equal height. so that area(BPQ) = area(ABC)/2.
Do you multiply to find the area of a triangle?
Explanation: The area of a triangle is found by multiplying the base times the height, divided by 2.
Why do we multiply by 1 2 when finding the area of a triangle?
The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram. where b is the base, h is the height and · means multiply.
What is the base of a triangle?
Answer: The bottom line of a triangle is the base of the triangle, and it can be one of the three sides of the triangle. In a triangle, one side is a base side and the remaining two sides can be the height or the hypotenuse side.
What is the base and height of a triangle?
The base is the side of a triangle which is considered to be the bottom, while the height of a triangle is the perpendicular line dropped onto its base from the vertex opposite to the base.
Which is the correct formula for the area of a triangle?
The formula for the area of a triangle is 1 / 2 × base × height. This formula can be more easily written as Area = 1 / 2 bh. The formula of Area = 1 / 2 bh works for all triangles, no matter what size or shape. As long as the height and base are known, this formula can be used to calculate the area.
Why do you multiply by 1 / 2 to find the area of the?
You don’t just “multiply by 1/2”. You first multiply the length of the base with the length of the altitude, and then you multiply by 1/2. Why? Because every triangle is half of a parallelogram, and every parallelogram has area which is its base times its altitude.
Why does a triangle have half the area of a rectangle?
This means that their areas add up to the area of the (unshaded) triangle so the triangle has half the area of the encompassing rectangle. In the case where one of the angles of the triangle at the base is obtuse, the same principle still applies.
Why are the two shaded regions of a triangle the same size?
Note that in the above diagram, the two shaded regions are the same size and shape as the two unshaded regions. This means that their areas add up to the area of the (unshaded) triangle so the triangle has half the area of the encompassing rectangle.