Area of an equilateral triangle
Calculate the area of an equilateral triangle of side x.
<<https://i.imgur.com/jlZDHhq.png>>
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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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Dimensions of a rectangle
The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...
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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...
Voltage in a lamp
A lamp is measured to have a resistance of R ohms when it operates at a power of P Watts. What is the voltage (in volts) being a...
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Resistance in a circuit
Two resistors with values of 6.0 ohms and 12 ohms are connected in parallel. This combination is connected in series with a 4 o...
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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.
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Length of the hypotenuse
Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle.
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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 ...
Convert from Fahrenheit to Celsius
Given an input vector F containing temperature values in Fahrenheit, return an output vector C that contains the values in Celsi...
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 ...