Simple Triangle/rectangle problem

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In summary, the conversation is about finding the length and breadth of a rectangle when only the diagonal length is known. It is mentioned that the shape is assumed to be a rectangle and not a square. The question also arises if the diagonal length of a piece of paper determines its exact size, and if two right triangles are congruent based on having the same diagonal. Finally, the topic of Pythagoras' theorem is brought up.
  • #1
letmedanz
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hi people,

got a simple question here..
assuming it is simple it seems so... but has been a long time since geometry, so looking for help :)

assuming only the length of a diagonal of a rectangle is known (say 20"), is it possible to find the length & breadth..?

stating to be a rectangle, as there is no clarity if this is a square or not...

any help will be appreciated!
 
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  • #2
does the diagonal length of a piece of paper determine the exact size of the paper?

are two right triangles congruent if they have the same diagonal? I.e. does one side and one angle determine a triangle?

do you know pythagoras theorem?
 

1. What is a simple triangle/rectangle problem?

A simple triangle/rectangle problem is a mathematical problem that involves finding the area, perimeter, or other properties of a triangle or rectangle. These problems often involve basic geometric principles and can be solved using simple formulas.

2. How do I find the area of a triangle?

To find the area of a triangle, you can use the formula A = 1/2 * base * height, where A is the area, base is the length of the triangle's base, and height is the height of the triangle. Simply plug in the values for base and height and solve for A.

3. What is the Pythagorean theorem and how is it used in triangle problems?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is often used to find missing side lengths or to determine if a triangle is a right triangle.

4. How do I find the perimeter of a rectangle?

To find the perimeter of a rectangle, you can use the formula P = 2 * length + 2 * width, where P is the perimeter, length is the length of the rectangle, and width is the width of the rectangle. Simply plug in the values for length and width and solve for P.

5. What are some real-world applications of simple triangle/rectangle problems?

Simple triangle/rectangle problems are commonly used in fields such as architecture, engineering, and construction. These problems can also be used in everyday situations, such as calculating the area of a room or determining the length of a fence needed for a backyard. They also provide a foundation for more complex geometric problems and concepts.

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