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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).
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Can a triangle have side lengths 6 8 and 9?
Yes, a triangle can have side lengths of 6, 8, and 9. To determine if these lengths can form a triangle, we can apply 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. In this case, 6 + 8 > 9, 6 + 9 > 8, and 8 + 9 > 6 all hold true, confirming that a triangle can indeed be formed with these side lengths.
Is the following shape a right triangle?
To determine if a shape is a right triangle, you need to check if one of its angles measures 90 degrees. Alternatively, you can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides (a² + b² = c²). If either condition is met, then the shape is a right triangle.
Could segments 9415 form a triangle?
To determine if segments 9415 can form a triangle, we can apply 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. If we let the segments represent the lengths a = 9415, b = 9415, and c = 9415, we can check the conditions: a + b > c, a + c > b, and b + c > a. Since 9415 + 9415 > 9415 holds true, the segments can indeed form a triangle.
What triangle has side lengths that are 3 cm 4 cm and 6 cm?
The triangle with side lengths of 3 cm, 4 cm, and 6 cm is a scalene triangle, as all three sides have different lengths. To determine if it forms a valid triangle, we can apply 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. In this case, 3 + 4 > 6, 3 + 6 > 4, and 4 + 6 > 3 are all satisfied, confirming that these sides can indeed form a triangle.
What is the length of missing side B in the figure of a triangle with one side 7 cm and one side 13 cm?
To determine the length of the missing side B in a triangle, we need more information about the triangle, such as whether it is a right triangle or the length of the third side. If the triangle is a right triangle, we could apply the Pythagorean theorem. If it's not a right triangle, we would need the measure of the included angle or additional side lengths to make a calculation. Without this information, the length of side B cannot be determined.
A triangle has two sides of lengths 5 and 13. What value could the length of the third side be Check all that apply?
10
A triangle has two sides of lengths 4 and 15. What value could the length of the third side be Check all that apply.?
It could be 12 because the sum of the 2 smaller sides of a triangle must be bigger than its largest side.
Can a triangle have side lengths 6 8 and 9?
Yes, a triangle can have side lengths of 6, 8, and 9. To determine if these lengths can form a triangle, we can apply 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. In this case, 6 + 8 > 9, 6 + 9 > 8, and 8 + 9 > 6 all hold true, confirming that a triangle can indeed be formed with these side lengths.
A triangle has two sides of lengths 6 and 9. What value could the length of the third side be Check all that apply.?
7, 10, 4 and 12 - apex
Is the following shape a right triangle?
To determine if a shape is a right triangle, you need to check if one of its angles measures 90 degrees. Alternatively, you can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides (a² + b² = c²). If either condition is met, then the shape is a right triangle.
Could segments 9415 form a triangle?
To determine if segments 9415 can form a triangle, we can apply 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. If we let the segments represent the lengths a = 9415, b = 9415, and c = 9415, we can check the conditions: a + b > c, a + c > b, and b + c > a. Since 9415 + 9415 > 9415 holds true, the segments can indeed form a triangle.
What triangle has side lengths that are 3 cm 4 cm and 6 cm?
The triangle with side lengths of 3 cm, 4 cm, and 6 cm is a scalene triangle, as all three sides have different lengths. To determine if it forms a valid triangle, we can apply 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. In this case, 3 + 4 > 6, 3 + 6 > 4, and 4 + 6 > 3 are all satisfied, confirming that these sides can indeed form a triangle.
What is the length of the hypotenuse of a right triangle with legs of lengths 6 and 8?
Being a right-triangle, apply Pythagoras. Hence h^(2) = a^(2) + b^(2) Substitute h^(2) = 6^(2) + 8^(2) h^(2) = 36 + 64 h^(2) = 100 Square root BOTH sides. h = 10 (The length of the hypotenuse.
What is the length of missing side B in the figure of a triangle with one side 7 cm and one side 13 cm?
To determine the length of the missing side B in a triangle, we need more information about the triangle, such as whether it is a right triangle or the length of the third side. If the triangle is a right triangle, we could apply the Pythagorean theorem. If it's not a right triangle, we would need the measure of the included angle or additional side lengths to make a calculation. Without this information, the length of side B cannot be determined.
How do you find the length of the biggest side on a triangle when given the 2 other side?
To find the length of the largest side in a triangle when given the lengths of the other two sides, you can apply the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, the longest side must be less than the sum of the other two sides. If you denote the two given sides as (a) and (b), the longest side (c) must satisfy (c < a + b).
What is the length of EF in the right triangle?
To determine the length of EF in a right triangle, you would typically need the lengths of the other two sides or some angles. If EF represents one of the sides of the triangle, you could apply the Pythagorean theorem (a² + b² = c²) if the lengths of the other two sides are known. Alternatively, if EF is a segment related to the triangle's angles, trigonometric ratios could be used. Without specific measurements or additional details, it's not possible to provide a numerical answer.
How do you find the length of an isosoles triangle?
To find the length of an isosceles triangle, you typically need the lengths of the two equal sides and the base. You can apply the Pythagorean theorem if you drop a perpendicular from the apex to the base, splitting it into two equal segments. This allows you to calculate the height, and then you can use the lengths of the sides and height to determine other properties like area or perimeter. If you need a specific length, such as the height or base, additional information may be required.
