# Triangle Scale Factor Calculator

If you're searching for how to find the scale factor of a **triangle**, this **scale factor calculator** is for you.

With this calculator, you can find the scale factor of similar triangles in two ways:

**Checking similarity:**This option checks whether two triangles are similar or not, and in case they're similar, the tool calculates the triangle scale factor.**You have to fill in all of the options.**You can select between three similarity criteria related to the information known:**Side-Side-Side (SSS)**;**Side-Angle-Side (SAS)**; and**Angle-Side-Angle (ASA)**;

**Finding the missing side:**If you input the information about the first triangle and one of the sides of the second triangle, the tool will calculate the triangle scale factor and, as a bonus, the remaining dimensions of the second triangle.

## How to find the scale factor of a triangle?

To know how to find the scale factor of a triangle, first, we must know what similar triangles are. Two triangles are similar if one of these conditions holds:

- Their
**corresponding sides**are in proportion, so one triangle is a**scaled**version of the other. The scale factor measures the degree to which this occurs. - Two
**corresponding angles**are**congruent**.

🙋 If one of the above conditions is true, the other one will also be true.

Consider the following two triangles:

As the corresponding sides are in proportion, then:

Therefore, we can say $\triangle \text{ABC} \sim \triangle \text{DEF}$, where the symbol $\sim$ indicates that the triangles are similar.

The $k$ term refers to the **scale factor**, and measures the proportion of similarity between two corresponding sides.

## Other tools similar to this triangle scale factor calculator

Now that you know how to find the scale factor of two triangles, you can look at these other exciting tools:

- Similar triangles calculator;
- Solve similar triangles calculator;
- Triangle similarity calculator; and
- Triangle proportionality theorem calculator.

## FAQ

### How do I find the scale factor of two triangles?

To find the scale factor of two triangles, follow these steps:

- Check that both triangles are similar.
- If they are similar, identify the corresponding sides of the triangles.
- Take any known side of the scaled triangle, and divide it by its corresponding (and known) side of the second triangle.
- The result is the division equals the
**scale factor**.

### What is the leg length of a triangle RST dilated by a scale factor of 1/2?

If an isosceles triangle RST was dilated by a scale factor of 1/2, and the legs of the dilated triangle (R'S' and R'T') measured 8 units, the length of the legs of the original triangle must be 16 units.