Can a triangle be inscribed in a rectangle?

When a triangle is inscribed in a rectangle, the vertices of that triangle are on the sides or vertices of that rectangle. As long as the equilateral triangle can be inscribed in the rectangle, the areas of the two outer triangles add up to the area of the third outer triangle. …

What is the greatest area of a rectangle inscribed inside a given right angled triangle?

half
Therefore it is the case that if a rectangle is inscribed inside a right-angled triangle in this way, its greatest area will be exactly half that of the triangle. One of the first things we must do when taking an algebraic approach is to decide which length in the diagram to consider as our variable.

How is the area of a rectangle and a right triangle related?

Explanation: Drawing a vertical line at the end of the side of length divides the shape into a rectangle and a right triangle. Multiply the length of the rectangle by its width to find the area of the rectangle, and use the formula , where is the base and is the height of the triangle, to find the area of the triangle.

What is the maximum area of a rectangle inscribed in a triangle?

Explanation: Maximum area of rectangle inscribed in an equilateral triangle of side 12 is 31.176.

How many triangles are in a rectangle?

four isosceles triangles
Rectangle. A rectangle has opposite sides which are equal and parallel. It also has four right angles. The diagonals are equal and split a rectangle into four isosceles triangles.

How many right triangles are in a rectangle?

Length of the diagonal As you can see, a diagonal of a rectangle divides it into two right triangles, BCD and DAB. The diagonal of the rectangle is the hypotenuse of these triangles.

How many right triangles are there in a rectangle?

four right angles
A rectangle has opposite sides which are equal and parallel. It also has four right angles. The diagonals are equal and split a rectangle into four isosceles triangles.

Why is the area of a square bigger than a rectangle?

Let’s says the rectangle has sides of length A and B and the square has sides of length C. Because they have the same perimeter we can say A+B=2C. so the area of the square will be greater than that of the rectangle by the square of difference of the sides length.

Which shape has largest area?

The circle has the largest area of any two-dimensional object having the same perimeter. A cyclic polygon (one inscribed in a circle) has the largest area of any polygon with a given number of sides of the same lengths.

What is a scalene rectangle?

Scalene quadrilateral is a quadrilateral that doesn’t have any special properties. The sides and angles have different lengths and measures.