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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?
Wiki User
∙ 15y ago
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.
Wiki User
∙ 15y ago
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A triangle is within a rectangle. how to find the ratio of the area of triangle to the rectangle?
Sounds like the triangle is spread out so that (the point is at the top of the rectangle) and (the base of the triangle is the same as the base of the rectangle).Base of rectangle = base of triangleHeight of rectangle = height of triangleWrite the formulas:Area of the rectangle = (base) times (height)Area of triangle = (one half of) (base) times (height)Can you see the ratio now ?
How is the triangle formula derived from the area of rectangles?
The area of a triangle is expressed using the formula A=(1/2)(bh) Where A is area Where B is length of the base of the triangle. Where H is the height of the triangle. The area of a rectangle is A=BH, Where B is the length of the base of the rectangle. Where H is the height of the rectangle. Because a triangle, essentially, is a half of a rectangle, you find the area of the whole rectangle that the triangle comes from, then divide that in half.
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.
Can you explain why the area of a triangle is 1 half base height while the area rectangle or a parallelogram is expressed as base height?
If you draw a diagonal in a rectangle you get two equal triangles, each half the area of the rectangle. Area of rectangle is base x height, so half of that is ½ x base x height. QED
How do you find the height when you know the Area and the base?
in a triangle double area and divide by base in a rectangle divide area by base
A triangle is within a rectangle. how to find the ratio of the area of triangle to the rectangle?
Sounds like the triangle is spread out so that (the point is at the top of the rectangle) and (the base of the triangle is the same as the base of the rectangle).Base of rectangle = base of triangleHeight of rectangle = height of triangleWrite the formulas:Area of the rectangle = (base) times (height)Area of triangle = (one half of) (base) times (height)Can you see the ratio now ?
What is the relationship between the area of a triangle and a rectangle?
The relationship between the area of a triangle and a rectangle is a Triangle is base times height divided by 2. Area of a rectangle is length times height.
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
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 is the area triangle related to the area of a rectangle?
two right triangles = full rectangle That is - if you multiply height times base of a triangle, the area will be 1/2 of a rectangle having the same height, and a width the same as the triangle base.
A rectangle and a triangle have equal areas?
it is possible, if the triangle is bigger than the rectangle, for example the rectangle has a base of 5 and height of 2-- so the area is 10; and then the triangle has a base of 5 and a height of 4-- the area is also 10.
How is the triangle formula derived from the area of rectangles?
The area of a triangle is expressed using the formula A=(1/2)(bh) Where A is area Where B is length of the base of the triangle. Where H is the height of the triangle. The area of a rectangle is A=BH, Where B is the length of the base of the rectangle. Where H is the height of the rectangle. Because a triangle, essentially, is a half of a rectangle, you find the area of the whole rectangle that the triangle comes from, then divide that in half.
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.
What is the area of a rectangle with a base of 10 and a height of 7?
The area of a rectangle is length x width. The area of a triangle is 1/2 base x height. If you mean a rectangle, the area is 70 square units. If you mean a triangle, the area is 35 square units.
Can you explain why the area of a triangle is 1 half base height while the area rectangle or a parallelogram is expressed as base height?
If you draw a diagonal in a rectangle you get two equal triangles, each half the area of the rectangle. Area of rectangle is base x height, so half of that is ½ x base x height. QED
How do you find the height when you know the Area and the base?
in a triangle double area and divide by base in a rectangle divide area by base
How do you find the area of a rectangle and any triangle?
Rectangle: length x width triangle: (base x height)/2
