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What is an example of a Lemma?
An example of a lemma in mathematics is the triangle inequality, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Lemmas are used as stepping stones to prove more complex theorems.
How big is a toucan?
Toucans vary in size depending on the species, but they generally range from 18 to 24 inches in length. Their large and colorful bills can represent up to a third of their total body length.
How many cubic inches is in 21 x 17?
To find the volume in cubic inches of a rectangular prism with dimensions 21 x 17, you would multiply the three dimensions (length, width, and height). Since a rectangular prism has three dimensions, you need a third dimension (height) to calculate the volume.
How can two thirds cups be measured if there is no two thirds measuring cup?
To measure two-thirds of a cup when you don't have a two-thirds measuring cup, you can use a one-third measuring cup and fill it twice. Another option is to use a half-cup measuring cup and fill it one and a third times.
How big is a third of a dinner plate?
A third of a typical dinner plate would cover about a third of the plate's surface area, usually around 6-7 inches in diameter.
What type of triangle has one side measuring 4 inches in length and two measuring 6 inches?
The triangle with one side measuring 4 inches and two sides measuring 6 inches is an isosceles triangle. In this type of triangle, two sides are of equal length, which in this case are the two 6-inch sides, while the third side is different. Additionally, the triangle satisfies the triangle inequality theorem, confirming that it can exist.
What is the length of the third side of a triangle that has two sides of 10 inches and 4 inches?
To determine the length of the third side of a triangle with two sides measuring 10 inches and 4 inches, we can apply the triangle inequality theorem. The length of the third side must be greater than the difference of the two sides and less than the sum of the two sides. Therefore, the third side must be greater than 6 inches (10 - 4) and less than 14 inches (10 + 4). Thus, the length of the third side can range from greater than 6 inches to less than 14 inches.
A triangle has sides measuring 2 inches and 7 inches. If x represents the length in inches of the third side which inequality gives the range of possible values for x?
5 < x < 9
A triangle has sides measuring 8 inches and 12 inches. If x represents the length in inches of the third side which inequality gives the range of possible values for x?
4 < x < 20
A right triangle has a leg length of 48 in and hypotenuse of 80 in What is the length of the other leg?
A right triangle with a leg length of 48 inches and a hypotenuse of 80 inches has a third leg of: 64 inches.
Can a triangle with a 4 inch side have a 55 and 35 degree angle?
A triangle with 1 side only measuring 4 inches can have two of its angles measuring 55° and 35°. The side would be either the hypotenuse or one other other sides of a right angled triangle. NOTE : A triangle with two of the three sides measuring 4 inches cannot have one of its angles measuring 55° and one other measuring 35° as the two sides of equal length would define it as an isosceles triangle. Therefore two of its angles are equal. If the two equal angles measured 35° each, then the third angle would equal 110°. If the two equal angles measured 55° each then the third angle would equal 70°. A triangle with all three sides measuring 4 inches has all three angles measuring 60° . It is an equilateral triangle.
The perimeter of a triangle is 57 the first side is twice the length of the second side the third side is seven more than the second side what is the length of each side?
the perimeter of a triangle is 86 inches. the largest side is four inches less than twice the smallest side. the third side is 10 inches longer than the smallest side. what is the length of each side?
What is the the missing length of a triangle with 30 inches and 10 inches?
The minimum length for the third side is 30 - 10 = 20; the maximum length is 30 + 10 = 40. It may be anything in between. Without further information (about angles, for example), you can't tell say about the third side.
What is the length of the third side of a triangle that has two sides of 5 inches?
The length of the last side cannot be determined exactly. But we can narrow it down. The third side will have length l, and 0" < l < 10". The last side will have a length greater than zero inches but less than 10 inches, and the inequality says that nicely.If it is a right triangle it is a 45 45 90 so the other side is square root 2 x 5
The perimeter of a triangle is 30 inches the first side of the triangle is 1 inch longer than the second side the second side is 7 inches longer than the third side what is the length of each side?
5,12,13
What is the length of the third side of an equilateral triangle have?
The length of the third side of an equilateral triangle is the same as the lengths of both of the other two sides.
A triangle has two equal sides each measuring 36cm its perimeter is 1 meter. find the length of the third side?
100 - (2 x 36) = 28 cm
