Triangle sequence
A sequence of triangles is constructed in the following way:
1) the first triangle is Pythagoras' 3-4-5 triangle
2) the s...
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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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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 righ...
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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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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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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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Side of a rhombus
If a rhombus has diagonals of length x and x+1, then what is the length of its side, y?
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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?
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Area of an equilateral triangle
Calculate the area of an equilateral triangle of side x.
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Length of a short side
Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...
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Flip the vector from right to left
Flip the vector from right to left.
Examples
x=[1:5], then y=[5 4 3 2 1]
x=[1 4 6], then y=[6 4 1];
Request not ...
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Doubling elements in a vector
Given the vector A, return B in which all numbers in A are doubling. So for:
A = [ 1 5 8 ]
then
B = [ 1 1 5 ...
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Vector creation
Create a vector using square brackets going from 1 to the given value x in steps on 1.
Hint: use increment.
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Create a vector
Create a vector from 0 to n by intervals of 2.
Number of 1s in a binary string
Find the number of 1s in the given binary string.
Example. If the input string is '1100101', the output is 4. If the input stri...
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Magic is simple (for beginners)
Determine for a magic square of order n, the magic sum m. For example m=15 for a magic square of order 3.
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Reverse the vector
Reverse the vector elements.
Example:
Input x = [1,2,3,4,5,6,7,8,9]
Output y = [9,8,7,6,5,4,3,2,1]
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Create times-tables
At one time or another, we all had to memorize boring times tables. 5 times 5 is 25. 5 times 6 is 30. 12 times 12 is way more th...
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Getting the indices from a vector
This is a basic MATLAB operation. It is for instructional purposes.
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You may already know how to <http://www.mathworks....
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Roll the Dice!
*Description*
Return two random integers between 1 and 6, inclusive, to simulate rolling 2 dice.
*Example*
[x1,x2] =...
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Make a random, non-repeating vector.
This is a basic MATLAB operation. It is for instructional purposes.
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If you want to get a random permutation of integer...
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Sum all integers from 1 to 2^n
Given the number x, y must be the summation of all integers from 1 to 2^x.
For instance if x=2 then y must be 1+2+3+4=10.
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Triangle Numbers
Triangle numbers are the sums of successive integers. So 6 is a triangle number because
6 = 1 + 2 + 3
which can be displa...
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