1. sort desc, so a1 >= a2 >= a3
2. check if (a1*a1 == a2*a2 + a3*a3) then true
Check whether the largest of the numbers is greater than or equal to the sum of the other two. If it is, then you can't make a triangle; otherwise you can.
You do not indicate if the given area is the total area of the square and the triangle. Or whether they are equal values.
If the lengths of the sides of the triangle can be substituted for 'a', 'b', and 'c'in the equationa2 + b2 = c2and maintain the equality, then the lengths of the sides are a Pythagorean triple, and the triangle is a right one.
Yes, the triangle is right-angled because 322 + 602 = 682. Given all three side lengths, you can use the Pythagorean relationship to determine whether a triangle is or is not right-angled. The right angle would be opposite the hypotenuse, 68.
I don't see any triangle below, but the idea is to add the length of all the sides.If it's an isosceles triangle, two of the sides must have the same length.
You can write out this algorithm. This will then be programmed into the device to make determining prime numbers easier.
Perhaps you mean an automorphic number? Loop through a series of numbers - for example, all numbers from 1 to 10,000 - and check each of the numbers, whether the condition applies. The condition in this case is that if you square the number, the last digits represent the original number.
The two smallest sides must be larger than the longest side. So if two sides are 9, 11 then the other side could be 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18.
Three numbers may or may not define a right triangle. Also, the answer will depend on whether the three numbers are the lengths of sides or the measures of angles.
What exactly do you mean "yields only prime numbers"? If you mean a formula that when given the numbers n=1, 2, 3, ... and so on generates the nth prime number (or a different prime number for each n) then no. If you mean an algorithm whereby a number can be tested to be a prime number then yes. (Using this prime_test algorithm, a simple algorithm can be written that would supply numbers one at a time to it and use its result to decide whether to yield the tested number or not, only yielding those numbers which pass the test.)
You can use a The Depth-First Search algorithm.
Check whether the largest of the numbers is greater than or equal to the sum of the other two. If it is, then you can't make a triangle; otherwise you can.
If you use methods based on prime factors, it is the same whether you have 2, 3, or more numbers: find all the factors that occur in any of your numbers. If you use a method based on Euclid's Algorithm (that is, lcm(a, b) = a x b / gcf(a, b), where you find the gcf with Euclid's Algorithm), then you can find the lcm for two numbers at a time. For example, to get the lcm of four numbers, find the lcm of the first two, then the lcm of the result and the third number, than the lcm of the result and the fourth number.
A primality test is an algorithm for determining whether an input number is prime, but I'm willing to bet that a lot of mathematicians type "prime number calculator" into their web browsers.
You need to check whether they have a common factor. You can simply factor each of the numbers; for numbers that are much larger, using Euclid's algorithm is much faster.If the common factor of two numbers is greater than 1, then they are NOT relatively prime.
Any triangle has three sides, whether it is a right triangle or not.
The advantage of the two's complement method is that the procedure for adding or subtracting numbers is the same, whether the numbers are positive or negative. This makes the hardware for managing these numbers simpler.