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How can you show that the area of a triangle half the area of the rectangle with the same base and height?
Draw a diagonal line across the rectangle. The resulting two right triangles will each have identical areas half that of the rectangle. The area of the rectangle is its height x base, and the area of each of the two triangles is 1/2 of its height x base.
A 5 by 12 is inscribed in a circle what is the radius of the circle?
The center of the rectangle to the corner of the rectangle is the radius of the circle. That can be found using the distance formula sqrt((5/2)^2+(12/2)^2) = 6.5 = r 5/2 is half the height of the rectangle and 12/2 is half the height of the rectangle. radius = 6.5
How are the area formulas for triangles parallelograms and trapezoidal related to the area of a rectangle?
The area formulas for triangles, parallelograms, and trapezoids are derived from the area of a rectangle, as they can be thought of as derived shapes. The area of a rectangle is calculated as base times height (A = base × height). For a triangle, the area is half that of a rectangle with the same base and height (A = 1/2 × base × height). A parallelogram retains the rectangle's base and height relationship (A = base × height), while a trapezoid can be viewed as a rectangle with two triangles removed or added, leading to its area formula (A = 1/2 × (base1 + base2) × height).
What shape is formed when a rectangle is rotated around an axis bisecting it?
When a rectangle is rotated around an axis that bisects it, the shape formed is a cylinder. The axis of rotation passes through the center of the rectangle, creating two identical semicircular ends and a cylindrical surface. The height of the cylinder corresponds to the length of the rectangle, while the radius is half the width of the rectangle.
Show the height width length of a rectangle?
A rectangle is a two dimensional object: height, width and length are three dimensions.
What is the Formula for center of gravity of a rectangle?
The formula for the center of gravity of a rectangle is: X = (W/2) and Y = (H/2), where X is the distance from the side of the rectangle to the center and Y is the distance from the top of the rectangle to the center, W is the width of the rectangle, and H is the height of the rectangle.
What are the coordinates of the center of a rectangle?
Just find the midpoint of opposite corners Consider the rectangle with sides of length a and b. The length of a diagonal is then sqrt(a2+b2) The two diagonals cross at the midpoint or where the length of the line from one vertex to the center is one half of a diagonal or (0.5)[sqrt(a2+b2)]. 1- Consider you have Point A(XA,YA) corresponding to the upper left coordinate of the rectangle and you have Point B(XB, YB) corresponding to the lower right coordinate of the rectangle, then, coordinates of the center Point C (XC, YC) is calculated: XC = XA + (XB-XA)/2 YC = YA - (YA-XB)/2 2- Consider you have Point A(XA,YA) corresponding to the upper left coordinate of the rectangle and the width (W) and height (H) of the rectangle, then, coordinates of the center Point C (XC, YC) is calculated: XC = XA + (W)/2 YC = YA - (W)/2
How can you show that the area of a triangle half the area of the rectangle with the same base and height?
Draw a diagonal line across the rectangle. The resulting two right triangles will each have identical areas half that of the rectangle. The area of the rectangle is its height x base, and the area of each of the two triangles is 1/2 of its height x base.
A 5 by 12 is inscribed in a circle what is the radius of the circle?
The center of the rectangle to the corner of the rectangle is the radius of the circle. That can be found using the distance formula sqrt((5/2)^2+(12/2)^2) = 6.5 = r 5/2 is half the height of the rectangle and 12/2 is half the height of the rectangle. radius = 6.5
What is the last name of the current Raptors starting center?
Andrea Bargnani is the starting center for the Toronto Raptors at a height of seven feet tall.
The area of rectangle?
Rectangle area = (rectangle width) x (rectangle height)
Why is the area of a rectangle base times height?
A rectangle is a good, simple shape to begin with. The area of a rectangle is equal to the product of the length of its base and the length of its height. The height is a segment that is perpendicular to the base. For a rectangle, the base and height are often called the "length" and the "width", and sometimes the height is referred to as the "altitude."
Change the height of the rectangle in the picture to determine which of the following descriptions is accurate?
The size of the circle is a function of the height of the rectangle.
How do you find out the perimeter?
The perimeter of any 2D shape is the sum of all of the individual sides. For example: the perimeter of a rectangle is = length of rectangle (top) + length of rectangle (bottom) + height of rectangle (Left) + height of rectangle (Right)
Which formula for the area of a parallogram is similar to a rectangle circle triangle ellipse or trapezoid?
Rectangle Area of parallelogram = Base * Height Area of rectangle = Base * Height
How do you calute the area of a rectangle?
area of a rectangle is width x height
How are the area formulas for triangles parallelograms and trapezoidal related to the area of a rectangle?
The area formulas for triangles, parallelograms, and trapezoids are derived from the area of a rectangle, as they can be thought of as derived shapes. The area of a rectangle is calculated as base times height (A = base × height). For a triangle, the area is half that of a rectangle with the same base and height (A = 1/2 × base × height). A parallelogram retains the rectangle's base and height relationship (A = base × height), while a trapezoid can be viewed as a rectangle with two triangles removed or added, leading to its area formula (A = 1/2 × (base1 + base2) × height).
