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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 triangle has sides measuring 5 inches and 8 inches If x represents the length in inches of the third side which inequality gives the range of possible values for x?
Ah hah! That little word "which" is pretty much a giveaway ... I'll just bet there wassome kind of a list of choices that was supposed to go along with the question, butsomehow got lost.Anyway, the correct inequality is: 3 < x < 13 .
Is it possible to draw a right triangle with an exterior angle measuring 88?
No
A triangle with all angles measuring less than 90 degrees?
A triangle with all angles measuring less than 90 degrees?That's an 'acute' triangle.
A triangle with one angle measuring 90 degrees?
A triangle with one angle measuring 90˚ is a right triangleIt's a right triangle because the 90˚ angle is a right angle
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
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.
A triangle has sides measuring 5 inches and 8 inches If x represents the length in inches of the third side which inequality gives the range of possible values for x?
Ah hah! That little word "which" is pretty much a giveaway ... I'll just bet there wassome kind of a list of choices that was supposed to go along with the question, butsomehow got lost.Anyway, the correct inequality is: 3 < x < 13 .
An equilateral triangle with sides measuring 8cm 9cm and 10 cm?
This is not an equilateral triangle.
Is it possible to draw a right triangle with an exterior angle measuring 88?
No
Given three positive real numbers satisfying the triangle inequalities is it always possible to find a triangle having these as the dimensions?
Sure, that is exactly what the triangle inequality tells us!
What does the triangle inequality theorem state?
The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.
Is it possible for a triangle to have sides with 15150.03?
A triangle can only exist if the lengths of its sides satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. Since you've provided only one side length (15150.03), we cannot determine if a triangle is possible without the lengths of the other two sides. If you provide additional side lengths, we can assess their validity based on the triangle inequality.
The side of a triangle 78cm 20 cm and 22cm find its area?
It is not possible to have a triangle with sides of those lengths. The two shortest sides of a triangle must always add to more than the longest side. This is known as the triangle inequality.
Is it possible to draw a scalene triangle measuring 7in 7in and 8in?
Yes, it is possible to draw a scalene triangle with sides measuring 7 inches, 7 inches, and 8 inches. However, since two sides are equal (7 inches each), this triangle is actually an isosceles triangle, not a scalene triangle. A scalene triangle has all sides of different lengths. Therefore, for a scalene triangle, all three sides must have different measurements.
How can we Proof by case to prove triangle inequality?
To prove the triangle inequality using proof by cases, we analyze the possible relationships between the sides of the triangle. For two sides (a) and (b), we consider three cases: when both (a) and (b) are positive, when one is zero, and when one or both are negative. In each case, we show that the sum of the lengths of any two sides is always greater than or equal to the length of the remaining side, thereby satisfying the triangle inequality: (a + b \geq c), (a + c \geq b), and (b + c \geq a). This structured approach confirms the validity of the inequality under all possible scenarios.
Can two sides be congruent in the triangle inequality?
no.
