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Why do you need to multiply the area of a triangle by a half?
Because - if you draw lines at right-angles from the base of a triangle vertically until they reach the highest point, then draw a horizontal line that connects those points, touching the highest point of the triangle - the area outside the triangle (but inside the resulting quadrilateral) is exactly half the area of the quadrilateral.
Why the area of a triangle is half that of a parallelogram?
If you put two of ANY triangle hypotenuse to hypotenuse the shape will have 4 sides (thus a parallelogram or quadrilateral).
How do you find the area of a 4 sided quadrilateral?
Firstly, all quadrilaterals are four sided. That is a the definition of a quadrilateral - a four sided figure. One way is to find the area of each half (i.e. two triangles) and add them together. The area of a triangle is half the length of the base times the height.
Why is the area of the triangle half the base times the height?
Because a triangle is half of a rectangle. The area of a rectangle is length times width, the area of a triangle is half that.
Which regular polygon could actually fit around a point leaving no gaps?
Triangle, quadrilateral or hexagon. Triangle, quadrilateral or hexagon. Triangle, quadrilateral or hexagon. Triangle, quadrilateral or hexagon.
Why the area of a triangle is half the product of its base and its height?
Because a triangle is the half shape of a 4 sided quadrilateral
Why do we need to divide the area of a triangle by 2?
Because in effect a triangle is half of a 4 sided quadrilateral
Why do you need to multiply the area of a triangle by a half?
Because - if you draw lines at right-angles from the base of a triangle vertically until they reach the highest point, then draw a horizontal line that connects those points, touching the highest point of the triangle - the area outside the triangle (but inside the resulting quadrilateral) is exactly half the area of the quadrilateral.
Why the area of a triangle is half that of a parallelogram?
If you put two of ANY triangle hypotenuse to hypotenuse the shape will have 4 sides (thus a parallelogram or quadrilateral).
How is the area enclosed by a quadrilateral calculated?
You can calculate the area of any quadrilateral by dividing it into two triangles and summing their areas. A triangle's area is found by multiplying the base by the half of the height (when height measured perpendicular to the base)
How do you find the area of a 4 sided quadrilateral?
Firstly, all quadrilaterals are four sided. That is a the definition of a quadrilateral - a four sided figure. One way is to find the area of each half (i.e. two triangles) and add them together. The area of a triangle is half the length of the base times the height.
What do odd triangles have to do with squares and cubes?
Well if you half any quadrilateral it comes up with a triangle and a square is a quadrilateral.
What is a triangle with an area of 12 square units?
It's half the size of a quadrilateral with 24 square units ------------ One type of triangle with an area of 12 square units is the isosceles triangle with two 5-unit sides and one 6-unit side.
Why is the area of the triangle half the base times the height?
Because a triangle is half of a rectangle. The area of a rectangle is length times width, the area of a triangle is half that.
Which regular polygon could actually fit around a point leaving no gaps?
Triangle, quadrilateral or hexagon. Triangle, quadrilateral or hexagon. Triangle, quadrilateral or hexagon. Triangle, quadrilateral or hexagon.
Is an acute scalene triangle quadrilateral?
No triangle is a quadrilateral.
How are the formulas for area of a triangle and rectangle similar?
the area of a triangle is half of the base times the height the area of a triangle is half of the base times the height
