# What Is The Formula For Finding The Diagonal Of A Rectangle?

What is the formula for finding the diagonal of a rectangle? You can use the Pythagorean theorem to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w² , and now you should know how to find the diagonal of a rectangle explicit formula - just take a square root: d = √(l² + w²) .

## What is the diagonal formula?

The formula to calculate the number of diagonal of an n-sided polygon = n(n-3)/2 where n is the number of sides of the polygon.

## How long is the diagonal of a rectangle 4cm long and 3cm wide?

Take the square root of each side of the equation.

, which is the hypotenuse of the triangle, and the diagonal of the rectangle. So, the diagonal of a rectangle with a width of 3 cm and a length of 4 cm is 5 cm.

## Is length of diagonal same in rectangle?

A rectangle has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the rectangle. The diagonals have the following properties: The two diagonals are congruent (same length).

## How many diagonals are in a rectangle?

Rectangles have two diagonals that connect two opposite vertices. They are the same size.

### How do you find the diagonal side of a rectangle?

Step-by-step explanation:

A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.

### How long is the diagonal of a 9 in by 40 in rectangle?

Summary: For the rectangle having a width of 9 units and a length of 40 units, the length of the diagonal is 41 units.

### What is the diagonal of a 48 square?

Thus, the diagonal is about 16.97 inches.

### What is the length of the diagonal of a rectangle having dimensions 5cm and 12cm?

The length of a diagonal of a rectangle whose sides are 5 cm and 12 cm long is 13 cm.

### Can we find area of rectangle with diagonal?

You can't. Both rectangles have the same diagonal but different areas. In fact, for any rectangle with diagonal d (which is known), we can find length and width as follows: This is simply the equation of a circle with radius .

### What is the property of diagonal of rectangle?

A rectangle is a parallelogram, so its opposite sides are equal. The diagonals of a rectangle are equal and bisect each other.

### How do you find the number of diagonals?

The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of sides. To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n - 3) by the number of vertices, n, and divide by 2 (otherwise each diagonal is counted twice).

### What will be the length of the diagonal of rectangle of side 6m and 8m?

Answer: The diagonal of the given rectangle is 10 m.

### How do you find a hypotenuse?

The hypotenuse is termed as the longest side of a right-angled triangle. To find the longest side we use the hypotenuse formula that can be easily driven from the Pythagoras theorem, (Hypotenuse)2 = (Base)2 + (Altitude)2. Hypotenuse formula = √((base)2 + (height)2) (or) c = √(a2 + b2).

### What is the diagonal of a 12x12 square?

17"
Square Size Diagonal
12" 17"
12 1/2" 17 5/8"
13" 18 3/8"
13 1/2" 19 1/8"

### How do you get a diagonal of a square?

• As we noticed before, the diagonal of a square divides the square into two congruent right triangles.
• Legs are square sides and the length of diagonal of the square is the hypotenuse. Given the side length of the square: a² + a² = diagonal² diagonal = √(a² + a²) = √(2 * a²) which simplifies to. diagonal = a√2.

• ### How do you make sure a rectangle is square?

Just measure across the diagonals from corner to corner. If the measurements are equal then the corners are square.

### What is the length of the diagonal of a rectangle having dimensions 12cm and 9cm?

Find the length of the diagonal of rectangle whose sides are 12 cm and 9 cm. Ans : Given = Sides : 12 cm and 9 cm. Let us solve it by Pythagoras theorem. Diagonal = 15 cm.

### What will be the length of the diagonal of a rectangle whose length is 15 cm and breadth is 8 cm?

Length of Diagonal , Hence Length of Diagonal of given rectangle is 17cm.

### What is the length of the diagonal of 10 cm by 15cm rectangle?

The diagonal measures 5 √13 cm.

### How do you find the diagonal of a rectangular prism?

Explanation: To find the diagonal distance of a prism, you can use the formula: \displaystyle d = \sqrtw^2 + l^2 + h^2, where = height; = width, and = length.

### How do I find the length of a rectangle?

Substitute the value of width in the formula of the perimeter of a rectangle and simplify the value of length 'l', that is, P = 2 (l + A/I). l = 4 units (or) 2 units. Substitute the value of the length 'l' of the rectangle in the equation w = A/l and simplify to find the width 'w'.

### How do you calculate the diagonal of a triangle?

To find the length of the diagonal (or hypotenuse) of a right triangle, substitute the lengths of the two perpendicular sides into the formula ​a2​ + ​b2​ = ​c2​, where ​a​ and ​b​ are the lengths of the perpendicular sides and ​c​ is the length of the hypotenuse. Then solve for ​c​.

### What is the diagonal of a pentagon?

5 5
Polygon Name Number of Sides Number of Diagonals
Pentagon 5 5
Hexagon 6 9
Heptagon 7 14

### How do you find the diagonal of a octagon?

Octagon Diagonals

In this case, there are 8 sides in an octagon. After substituting the value of 'n' in the formula, we get, Number of diagonals = n(n-3)/2 = 8(8 - 3)/2 = (8 × 5)/2 = 20.

### How many diagonals are there in the following figure?

Know that a diagonal is defined as the line joining the opposite points of the polygone. Hence, there are five diagonals in the given figure.