# hypot()

The `hypot()` CSS function is an exponential function that returns the square root of the sum of squares of its parameters.

While `pow()` and `sqrt()` only work on unitless numbers, `hypot()` accepts values with units, but they all must have the same type.

## Syntax

css

``````/* A <number> value */
width: hypot(2em); /* 2em */
width: hypot(3em, 4em); /* 5em */
width: hypot(30px, 40px); /* 50px */
width: hypot(48px, 64px); /* 80px */
width: hypot(3px, 4px, 5px); /* 7.0710678118654755px */
``````

### Parameters

The `hypot(x [, ...]#)` function accepts one or more comma-separated calculations as its parameters.

`x`, `x2`, ..., `xN`

A calculation that resolves to a `<number>`, `<dimension>`, or `<percentage>`.

### Return value

Returns a `<number>`, `<dimension>`, or `<percentage>` (based on the inputs), which is the square root of the sum of squares of its parameters.

• If any of the inputs is `infinite`, the result is `+∞`.
• If a single parameter is provided, the result is the absolute value of its input. `hypot(2em)` and `hypot(-2em)` both resolve to `2em`.

### Formal syntax

`<hypot()> =   hypot( <calc-sum># )  <calc-sum> =   <calc-product> [ [ '+' | '-' ] <calc-product> ]*  <calc-product> =   <calc-value> [ [ '*' | '/' ] <calc-value> ]*  <calc-value> =   <number>         |  <dimension>      |  <percentage>     |  <calc-constant>  |  ( <calc-sum> )   <calc-constant> =   e          |  pi         |  infinity   |  -infinity  |  NaN        `

## Examples

### Sizes based on hypot function

This example shows how you can use the `hypot()` function to calculate sizes.

#### HTML

html

``````<div class="boxes">
<div class="box">100px</div>
<div class="box one">100px</div>
<div class="box two">141.42px</div>
<div class="box three">250px</div>
</div>
``````

#### CSS

Here we are using CSS custom properties to define the sizes to be used. First we declare the first size (`--size-0`) which is then used to calculate the other sizes.

• `--size-1` is calculated with the hypotenuse of `--size-0` (100px). This takes the square value and, as there is no other value, returns the square root of the value, which results in 100px.
• `--size-2` is calculated with the hypotenuse of `--size-0` (100px), twice. This takes the square of the value (100px * 100px = 10000px2) and adds it to the square of `--size-0` again (10000px2 + 10000px2 = 20000px2) and returns the square root of the sum (√(20000px2)), which results in 141.42px.
• `--size-3` is calculated with the hypotenuse `--size-0` * 1.5 (150px) and `--size-0` * 2 (200px). The result is the square root of the sum of their squares: The values are squared (22500px2 and 40000px2) and added together (62500px2), with the sum square-rooted (√(62500px2)) being 250px.

css

``````:root {
--size-0: 100px;
--size-1: hypot(var(--size-0)); /*  100px */
--size-2: hypot(var(--size-0), var(--size-0)); /*  141.42px */
--size-3: hypot(
calc(var(--size-0) * 1.5),
calc(var(--size-0) * 2)
); /*  250px */
}
``````

The sizes are then applied as the `width` and `height` values of the selectors.

css

``````.one {
width: var(--size-1);
height: var(--size-1);
}
.two {
width: var(--size-2);
height: var(--size-2);
}
.three {
width: var(--size-3);
height: var(--size-3);
}
``````

## Specifications

Specification
CSS Values and Units Module Level 4
# exponent-funcs

## Browser compatibility

BCD tables only load in the browser