Keywords: clear search

## Welcome to the Futurama Support Site

The Futurama Support Site is the website where you can find Futurama and Futurama Vision documentation. If you have any questions about the support pages or if you want to provide us feedback please send us an e-mail.

Index Exercise 1: Pythagorean Theorem (Easy)

451 documents found.

# Exercise 1: Pythagorean Theorem (Easy)

Developer
Tutorial

Module: Editor

Version: 4.2.1 +

User: Developer

Difficulty: Easy

Introduction

In this exercise a formula must be created that uses the Pythagorean Theorem to calculate the side-length of a triangle.

Prerequisites

- The Futurama Editor must be installed.
- Completing the tutorial Creating formulas with Futurama first, is recommended.

## Description

The image at the right shows a triangle with the sides named A, B and C.
Side A has a fixed size of 3 inches. The length of side B is variable. The triangle is right-angled, so the angle between A and B measures 90°.
This means that the Pythagorean theorem applies:

A^2 + B^2 = C^2

## Assignment

Create a formula that calculates C, where A has a fixed value of 3, and B is an input-argument.
Determine C for the following values of B:

1. (A=3)   B=3    C=
2. (A=3)   B=4    C=
3. (A=3)   B=5    C=

## Tips

• You should create a formula of type 'double', as the length of size C does not need to be an integer.
• Futurama supports all basic arithmetic formulas. However, there's no special root function in Futurama, as you can formulate a (square) root in a general way by using the power-function.

## Solutions

1. (A=3)   B=3    C=4.24 (rounded)
2. (A=3)   B=4    C=5
3. (A=3)   B=5    C=5.83 (rounded)

You can download our solution for this assignment by clicking the image at the right. (Futurama 4.2.1.2)
Please note that you can very well have a different solution that is just as good as ours.

### Printscreens

The printscreens of our solution can provide you some insight in how you should implement this exercise:

## Variations

If you want some more practise on this subject, you could try the extra exercises below.
We won't provide a solution for these variations, just consider them as a way to further experiment with Futurama.
• (Easy:) Extend your formula by rounding the results to two digits.
• (Medium:) Extend your formula by adding size A as an argument.
• (Difficult:) Create a formula that determines if the value of C is an integer, based on the value for B. The formula should be a Boolean formula like: c(b)= Round(c(b)).

Updated: 2012-12-03