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Height of a right-angled triangle
Given numbers a, b and c, find the height of the right angled triangle with sides a and b and hypotenuse c, for the base c. If a...
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Is the Point in a Triangle?
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Right Triangle Side Lengths (Inspired by Project Euler Problem 39)
If p is the perimeter of a right angle triangle with integral length sides, { a, b, c }, there are exactly three solutions for p...
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Find my daddy long leg (No 's')
Given the ratio of the two legs (longer / shorter), and the hypotenuse length, find the value of the bigger leg.
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Mechanical Advantage of a Gear Train
Calculate the mechanical advantage of a gear train. The mechanical advantage of a gear couple is given by MA = T_o/T_i where ...
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How long do each of the stages of the rocket take to burn?
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Current through resistor
Three resistors (R2, R3, R4) are connected in parallel as shown in the figure. If this combination is connected in series with ...
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Calculate Parallel Resistance
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Resistance of a light bulb
The current through two identical light bulbs connected in series is C Amperes. The total voltage across both bulbs is V Volts....
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Electrical Diode Current Calculation
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An Ohm's Law Calculator
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Velocity Conversion
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Force and Motion 3
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Dimensions of a rectangle
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Area of an equilateral triangle
Calculate the area of an equilateral triangle of side x. <<https://i.imgur.com/jlZDHhq.png>> Image courtesy of <http://up...
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Side of an equilateral triangle
If an equilateral triangle has area A, then what is the length of each of its sides, x? <<https://i.imgur.com/jlZDHhq.png>> ...
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Side of a rhombus
If a rhombus has diagonals of length x and x+1, then what is the length of its side, y? <<https://imgur.com/x6hT6mm.png>> ...
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Area of an Isoceles Triangle
An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle. <<https://imgur...
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Is this triangle right-angled?
Given three positive numbers a, b, c, where c is the largest number, return true if the triangle with sides a, b and c is right-...
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Is this triangle right-angled?
Given any three positive numbers a, b, c, return true if the triangle with sides a, b and c is right-angled. Otherwise, return f...
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Find a Pythagorean triple
Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...
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Calculate the area of a triangle between three points
Calculate the area of a triangle between three points: P1(X1,Y1) P2(X2,Y2) P3(X3,Y3) these three points are the vertices of ...
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Longest run of consecutive numbers
Given a vector a, find the number(s) that is/are repeated consecutively most often. For example, if you have a = [1 2 2 2 1 ...
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Rescale Scores
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