# What is the formula for enlargement?

## What is the formula for enlargement?

New length = original length × scale factor. A triangle of base 3 m and height 2 m is enlarged using a scale factor 5.

### How do you find the enlargement scale?

To find the scale factor of enlargement, divide the longer side by the short side. 6 ÷ 2 = 3 and so, the scale factor is 3. This means that all of the sides on the smaller shape have been multiplied by 3. It also means that all of the sides on the larger shape can be divided by 3 to make the smaller shape.

#### What is an example of an enlargement?

Enlarging a shape changes its size. All the sides of the triangle X’Y’Z’ are twice as long as the sides of the original triangle XYZ. The triangle XYZ has been enlarged by a scale factor of 2. Enlargement is an example of a transformation.

**How do you calculate Pythagoras?**

Pythagorean Theorem Formula

- c=√a2+b2.
- a=√c2−b2.
- b=√c2−a2.

**What is the factor of enlargement?**

When describing enlargements you must state by how much the shape has been enlarged. This is called the scale factor. For example, a scale factor of means that the side-lengths of the new shape are twice the side-lengths of the original.

## What is the enlargement factor?

### How do you enlarge by a scale factor of 2?

Example

- Enlarge the triangle ABC by a scale factor of 2 about the centre of enlargement O.
- First, draw ray lines from O to each corner of the triangle and extend them.
- Next, measure the distance from O to each corner of ABC.
- Finally, join up the points A’ B’ C’

#### What is enlargement factor?

The scale factor describes the size of an enlargement or reduction. For example, a scale factor of means that the new shape is twice the size of the original. A scale factor of means that the new shape is three times the size of the original.

**Why was Pythagoras afraid of beans?**

One of Pythagoras’ strangest obsessions with food was his relationship to the fava bean. He believed you should never eat fava beans because they give you gas and expelling gas took away the “breath of life.”3 At the same time, he claimed fava beans contained the souls of the dead.

**How do you solve Pythagorean theorems step by step?**

Find x.

- Step 1: Identify a, b, and c.
- Step 2: Plug the values into the Pythagorean Theorem.
- Step 3: Simplify.
- Step 4: Solve for the missing value.
- Step 1: Identify a, b, and c.
- A common mistake here is that students assume either the 14 or the x must be the hypotenuse since they’re slanted.
- Step 3: Simplify.

## How do you enlarge and reduce shapes?

A scale factor can be used to enlarge or reduce a shape.

- Shape A below is enlarged by scale factor to give Shape B.
- For example, a scale factor of means that the new shape is twice the size of the original.
- A scale factor of means that the new shape is three times the size of the original.