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In how many ways can you select 3 different numbers from the set 1 2 3 4 5 6 7 8 so that the numbers could represent the measures of the sides of a triangle?
Illogicalillusions
A triangle can be constructed provided the combined length of the shortest two sides is greater than the longest side. Clearly a side of length 8 cannot be one of the two smaller sides. Also, a side of length 1 cannot be used. (Here's why: suppose the shortest side is of length 1, and the next shortest of length N. In this case the longest side must be smaller than N+1 but - by definition - greater than N, which is impossible if we are to use only unique integer values.) Therefore the shorter two sides must take values from 2 to 7. The possible combinations of shorter sides are listed below, alongside feasible values for the third side: * [short side 1, short side 2 - possible longest sides] * 2,3 - 4 * 2,4 - 5 * 2,5 - 6 * 2,6 - 7 * 2,7 - 8 * 3,4 - 5,6 * 3,5 - 6,7 * 3,6 - 7,8 * 3,7 - 8 * 4,5 - 6,7,8 * 4,6 - 7,8 * 4,7 - 8 * 5,6 - 7,8 * 5,7 - 8 * 6,7- 8 Count all those possibilities up and you will find a total of 22 unique solutions.
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Which set of numbers represent the sides of a right angle triangle?
They are Pythagorean triples
Can a scalene triangle have sides measuring 8 feet 8 centimeters and 8 inches?
Yes. It is the measures of the three sides that need to be equal not simply the numbers in different units. So a triangle of with sides of 1 yard, 3 feet and 36 inches would be equilateral even though the 3 numbers are different.
What triangle measures 25 14 141?
If the numbers mentioned in the question (14, 25, and 141) are referencing the angle measurements in degrees, then this is an obtuse scalene triangle.
How many binary bits are necessary to represent 748 different numbers?
Binary bits are necessary to represent 748 different numbers in the sense that binary bits are represented in digital wave form. Binary bits also have an exponent of one.
Which set of numbers does not represent the lengths of a right triangle?
I can't say for sure, since you haven't given me any sets of numbers to choose from, but this question is designed to test your knowledge of the Pythagorean Theorem. Multiply the smaller two numbers by themselves and add them together. If their sum does not equal the square of the largest number, that group cannot be a right triangle.
How many ways can you select three numbers from 1 2 3 4 5 6 7 8 so that the numbers could represent the measures of the sides of a triangle?
There are 22 ways.
How do you state if the three numbers can be measure of the sides of a triangle?
state if the three numbers can be measures of the sides of a triangle. show your work 1- 15,12,9
How do you find a right triangle when you have three numbers?
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.
Which set of numbers represent the side lengths of an obtuse triangle?
Those ones, there!
Which set of numbers represent the sides of a right angle triangle?
They are Pythagorean triples
Which of the following could be the side measures of a right triangle?
There are no numbers on that list that could be the sides of a right triangle. Oh, all right. The following is the answer:
What is a triangle that has different numbers on each side?
Scalene
Can a scalene triangle have sides measuring 8 feet 8 centimeters and 8 inches?
Yes. It is the measures of the three sides that need to be equal not simply the numbers in different units. So a triangle of with sides of 1 yard, 3 feet and 36 inches would be equilateral even though the 3 numbers are different.
How do you determine which numbers could respresent sides of a right triangle?
Pick three numbers. If the square of the largest number is equal to the sum of the squares of the other two, then the three numbers could represent the sides of a right triangle.
What triangle measures 25 14 141?
If the numbers mentioned in the question (14, 25, and 141) are referencing the angle measurements in degrees, then this is an obtuse scalene triangle.
Do the numbers 6810 represent the sides of a right triangle?
If you mean units of 6 8 and 10 then yes they can form the sides of a right angle triangle.
What is the perimeter of triangle which measures 6 8 10 inches?
24 inches You can find the perimeter of a triangle by adding the lengths of all three sides. In this case, since the triangle measures 6, 8, and 10 inches, its perimeter would be the sum of these numbers which is 24 inches.
