# How do you find the area of a square with the diagonal?

## How do you find the area of a square with the diagonal?

Derivation of the Area of Square Using Diagonal Thus, area of a square using diagonals = ½ × d2 square units. Thus, area of a square using diagonals = ½ × d2 square units.

## What will be the area of square if its diagonal is 10 cm?

50cm2
The diagonal of a square is 10 cm. Side of a square = 10 / √2 cm. ∴ Area of a square is 50cm2.

What is the diagonal of a 10 square?

Finding the Diagonal of a Square

Square Size Diagonal
8 1/2″ 12″
9″ 12 3/4″
9 1/2″ 13 3/8″
10″ 14 1/8″

What is the diagonal 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) . Our diagonal of a rectangle calculator allows you to use almost any units you want.

### What is the formula for finding the diagonal of a square?

d = a√2
The diagonal of a square formula, is d = a√2; where ‘d’ is the diagonal and ‘a’ is the side of the square. The formula for the diagonal of a square is derived using the Pythagoras theorem. A diagonal divides a square into two isosceles right-angled triangles.

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

The diagonal measures 5 √13 cm.

What is the diagonal dimension of a square?

To find the length of the diagonal of a square, multiply the length of one side by the square root of 2: If the length of one side is x… The diagonals of a square intersect (cross) in a 90 degree angle. This means that the diagonals of a square are perpendicular.

What is the diagonal of a square?

To find the length of the diagonal of a square, multiply the length of one side by the square root of 2: If the length of one side is x… The diagonals of a square intersect (cross) in a 90 degree angle.

## What is diagonal formula?

Number of Diagonals = n(n-3)/2 In other words, an n-sided polygon has n-vertices which can be joined with each other in nC2 ways. Now by subtracting n with nC2 ways, the formula obtained is n(n-3)/2. For example, in a hexagon, the total sides are 6.

## How do you calculate diagonal?

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) .

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