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What is the range of possible lengths of the third side of a triangle with the side lengths of 3 and 6?

To find the range of possible lengths for the third side of a triangle with sides of lengths 3 and 6, we use the triangle inequality theorem. The sum of the lengths of any two sides must be greater than the length of the third side. Therefore, the third side (let's call it ( x )) must satisfy the inequalities: ( x < 3 + 6 ) and ( x > 6 - 3 ). This results in ( x < 9 ) and ( x > 3 ), so the possible lengths of the third side range from greater than 3 to less than 9, or ( 3 < x < 9 ).


If 48 cm and 54 cm are the lengths of two sides of the triangle what is the range of possible values of the third side?

The sum of the 2 smallest sides of a triangle must be greater than the length of its longest side


A triangle has two sides of lengths 7 and 12. What value could the length of the third side be Check all that apply.?

To determine the possible lengths of the third side of a triangle with sides of lengths 7 and 12, we can use 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. This gives us two inequalities: the third side must be less than 19 (7 + 12) and greater than 5 (12 - 7). Thus, the possible length of the third side must be greater than 5 and less than 19, meaning it could be any value in the range (5, 19).


What is the range of lengths of each leg of an isosceles triangle if the measure of the base is 6 inches?

Any length greater than 3 inches.


What is the range of the lengths for the third side of a triangle if the given lengths of the two sides are twelve inches and twenty two inches?

Greater than zero and less than 34 inches or 0 < side < 34


What is based on the length of its other two sides.?

The length of a triangle's third side is determined by the lengths of its other two sides according to the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides must be greater than the length of the remaining side. Therefore, if you know the lengths of two sides, you can establish a range for the length of the third side.


Could the segment 94 and 15 form a traingle?

Line segments of lengths 94 and 15 could form a triangle provided the third side was in the range (79, 109).


How do you find the range of a triangle?

to find the range of values of triangle. Add the value of the sides of the given sides...is it?


In a scalene triangle the longest side is opposite the angle with the smallest measure?

Incorrect. The relationships between the angles inside a triangle will be identical to the relationships between the lengths of the sides opposite those angles. For example, take any scalene triangle with the corners A, B, and C. If ∠A is the widest angle, ∠B is the mid-range, and ∠C is the smallest, then B→C will be the longest side, A→C will be the mid-range side, and A→B will be the shortest side.


Why do sine and cosine always have values less than 1?

Sine and cosine functions represent the ratios of the lengths of sides of a right triangle relative to the hypotenuse. Since these ratios involve the lengths of the triangle's legs (which are always shorter than or equal to the hypotenuse), the values of sine and cosine cannot exceed 1. Additionally, on the unit circle, the coordinates of any point (x, y) are constrained within the range of -1 to 1, which further reinforces that the maximum and minimum values of sine and cosine are also limited to this range.


What is the missing side length of the triangle Round your answer to the nearest tenth. If the two other side lengths are 5 and 5 what´s the missing side length?

The length of the third side depends on the opposite angle. If the angle is at or near zero, the length of the third side is at or near zero. If the angle is at or near 180 degree, the third side is just the sum of the other two sides, which is 10. So that third side has a range of 0 to 10 possible lengths.


10 feet to 8 feet?

It is a range of lengths or distances.