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What is Pythagoras best remembered for?
Pythagoras is most famous for discovering Pythagoras' Theorem, which is a formula for finding lengths of sides on a right angled triangle. The formula is: a2+b2= c2 where c is the hypotenuse (longest side of the triangle) and a and b are the shorter sides.
Is it possible to construct a triangle with the side lengths 30 32 34?
Oh, what a happy little question! It looks like you have a special triangle there with side lengths 30, 32, and 34. Since the sum of the two shorter sides must be greater than the longest side for a triangle to exist, let's check if that's true here. If we add 30 and 32, we get 62, which is indeed greater than 34, so you can paint a beautiful triangle with those side lengths!
In the Pythagorean Theorem (a2 plus b2 c2) a and b stand for the lengths of the shorter sides and c stands for .?
For a right angle triangle in Pythagoras' theorem of a2+b2 = c2 the letters a and b stand for the shorter sides and c stands for the longest side which is the hypotenuse.
Find the lengths of the side of the right triangle if the longest side of the triangle is four more than the shortest side and the middle side is two more than the shortest side?
There is no such right triangle. You have defined the relationship between three sides of a triangle that does not have a 90 degree angle. In a right triangle the sum of the squares of the shorter sides equals the square of the longest side and 12 + 22 = 5 ; 42 = 16 it does not equal 5 The angles in a triangle with sides 1, 2, 4 units can be found by applying the cosine rule.
Which sides of lengths below could form a triangle?
To see if three lengths can be made into a triangle:Add together the two shorter lengths;if this sum is greater than the remaining length, then a triangle can be made;otherwise the sum is less than or equal to the remaining length and a triangle cannot be made.examples:3, 4, 53 + 4 = 7 > 5 ⇒ is a triangle 5, 5, 85 + 5 = 10 > 8 ⇒ is a triangle 12, 30, 1812 + 18 = 30 ≤ 30 ⇒ is not a triangle 12, 35, 1812 + 18 = 30 ≤ 35 ⇒ is not a triangle
What set of lengths can be used to make a triangle?
There are many lengths that can be used to make triangles. Basically take the longest side, add the two shorter sides together, it can be a triangle as long as the 2 shorter sides added together are longer than the longest side.
Can a triangle be formed with side lengths of 2 3 and 6?
No. With the given side lengths the sum of the two shorter sides do not exceed the length of the longest side and would not meet to form a triangle
How do you get the longest side on a right angle triangle?
Label the two shorter sides as A and B. Whatever their lengths are, A squared plus B squared is the longest side, C, squared.
What could be the third side of a triangle with side lengths of 4 cm and 6 cm?
The sum of the 2 shorter sides must be greater than the longest side to form a triangle
What are the sides of a right angle triangle?
They are straight lines. The sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. But subject to that constraint, the sides can have any lengths.They are straight lines. The sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. But subject to that constraint, the sides can have any lengths.They are straight lines. The sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. But subject to that constraint, the sides can have any lengths.They are straight lines. The sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. But subject to that constraint, the sides can have any lengths.
Could a triangle has lengths of 4 9 11?
Yes that is possible. To check, you add the two shorter sides, and they should be longer than the longest side.
Is 56 ft 65 ft 16 ft a triangle?
Yes, the three given lengths will form a triangle. Three lengths can make a triangle if, and only if, the sum of the two shorter lengths is greater than the longest length. The two shorter lengths are 56 ft and 16 ft with a sum of 56 ft + 16 ft = 72 ft 72 ft is greater than 65 ft so 56 ft, 65 ft and 16 ft will make a triangle.
True or false A triangle with sides of lengths 10 24 and 27 is a right triangle?
false In order for this to be a right triangle, the sum of the squares of the two shorter sides would have to equal the square of the longest side. 102=100 242= 576 272=729 102+242= 676, which does not equal 272=729, so a triangle with these lengths is not a right triangle.
Can you determine the type of a triangle by just knowing it's sides?
Yes. The three sides uniquely specify the triangle. If all three sides are equal it is equilateral. If only two are equal it is isosceles. If none are equal it is scalene. If the sum of the squares of the two shorter lengths is equal to the square of the longest length, it is a right angled triangle. If the sum of the squares on the two shorter sides is less than the square on the longest, it is an obtuse angled triangle. Otherwise it is an acute triangle.
A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x plus 1. What could be the length of the other side?
The longest side can have a length of 6, 8, or 10 units. It cannot have an odd length. If the third side has to be the longest, the two shorter sides can only have integer lengths of 1 and 2 2 and 3 3 and 4
What is Pythagoras best remembered for?
Pythagoras is most famous for discovering Pythagoras' Theorem, which is a formula for finding lengths of sides on a right angled triangle. The formula is: a2+b2= c2 where c is the hypotenuse (longest side of the triangle) and a and b are the shorter sides.
Is it possible to construct a triangle with the side lengths 30 32 34?
Oh, what a happy little question! It looks like you have a special triangle there with side lengths 30, 32, and 34. Since the sum of the two shorter sides must be greater than the longest side for a triangle to exist, let's check if that's true here. If we add 30 and 32, we get 62, which is indeed greater than 34, so you can paint a beautiful triangle with those side lengths!
