What is the relationship between area of a rectangle and right triangle?
It says discuss the relationship between the area of a rectangle with dimensions a and b and the area of a right triangle with legs of a and b. Anybody know what the relationship is?
probs sumfin to do with the right angle
area of the rectangle = 2 x area of the triangle
area of rectangle = 2*area of right triangle
The triangles area is half of that or the Rectangle. A rectangle is two triangles if put together the right way.
the area of the rectangle is twice that of the right-angle triangle as the rectangle can be formed by joining two of the right-angled triangles at their hypotenuse
The triangle is possessed by the rectangle.
Area of Rectangle= 2 times area of triangle
in other words…
Are of triangle= 1/2 times area of rectangle
rectangle:
A₁ = ab
right triangle
A₂ = ½ab
A₁/A₂ = ab/½ab
A₁ = 2A₂
The area of the rectangle is twice that of the right triangle.
What a great resource!
Area of the rt triangle = ½ of the area of the rectangle
The area of the rectangle with sides a and b = ab
And
The area of the triangle with sides a and b = ½ ab
So if the area of the triangle is S and the area of the rectangle is A
Then
S = ½A
A triangle with the legs of lengths a and b has the area of a rectangle with its dimensions a and b.
The area of a triangle is:
A = 1/2 B*H
where A = area, B = base, and H = height:
The area of a rectangle is:
A= L * W
where: A = area, L = length, W= width
If you draw a rectangle then draw a line diagonal across it you will have two right triangles:
That shows and proves the formula of
A= 1/2 B*H for a triangle: because for any given height and base of a right triangle the area will be one half of the area of a rectangle with the same length and width as the height and base of a right triangle
area of rectangle = 2*area of right triangle
a*b = 2(1/2*a*b)
1/2 a b = area of triangle
a b = area of rectangle
it is half of a × b. HALF of a rectangle with the same lengths on either side of the 90 degrees.
A rectangle has length a and width b. The area will be a × b.
Now, suppose you have a right angle triangle with one of the side a and another side b. As this is a triangle with a right angle, a and b is lies on the same place as the a and b in the rectangle. And the area will be halved as the triangle will have a third line which goes from the end of line a to the end of line b.