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Is it possible to construct a triangle with side lenghts of 6cm 11cm and 13cm?
Yes, it is possible to construct a triangle with side lengths of 6 cm, 11 cm, and 13 cm. To determine this, 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. In this case, 6 + 11 > 13, 6 + 13 > 11, and 11 + 13 > 6, all hold true, confirming that these lengths can form a triangle.
Do segments with side lengths of 9 4 and 11 form a triangle?
To determine if segments with lengths 9, 4, and 11 can form a triangle, we can use the triangle inequality theorem. This states that the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 9 + 4 = 13, which is greater than 11; 9 + 11 = 20, which is greater than 4; and 4 + 11 = 15, which is greater than 9. Since all conditions are satisfied, the segments can indeed form a triangle.
What kind of triangle is one with side lengths of 5 12 and 13?
A right-angled triangle. Per Pythagoras: (5*5) + (12*12) = 13*13
what- Suppose the side lengths of a triangle have the ratio 5:12:13. Some possible triangles are shown here. Now suppose the perimeter of the triangle is ninety centimeters.What are the side lengths?
Given that the perimeter of the triangle is 90 centimeters, we can determine the actual side lengths by multiplying the ratio by a common factor. The total ratio value is 5 + 12 + 13 = 30. To find the actual side lengths, we divide the perimeter by this total ratio value: 90 / 30 = 3. Therefore, the side lengths of the triangle are 5 x 3 = 15 cm, 12 x 3 = 36 cm, and 13 x 3 = 39 cm.
Can the side lengths 13cm 10cm and 22cm form a triangle?
To determine if the side lengths 13 cm, 10 cm, and 22 cm can form a triangle, 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. Here, 13 cm + 10 cm = 23 cm, which is greater than 22 cm, but 10 cm + 22 cm = 32 cm (greater than 13 cm), and 13 cm + 22 cm = 35 cm (greater than 10 cm). However, since the sum of the two shorter sides (13 cm and 10 cm) exceeds the longest side (22 cm), these lengths can indeed form a triangle.
Is it possible to construct a triangle with side lenghts of 6cm 11cm and 13cm?
Yes, it is possible to construct a triangle with side lengths of 6 cm, 11 cm, and 13 cm. To determine this, 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. In this case, 6 + 11 > 13, 6 + 13 > 11, and 11 + 13 > 6, all hold true, confirming that these lengths can form a triangle.
Do segments with side lengths of 9 4 and 11 form a triangle?
To determine if segments with lengths 9, 4, and 11 can form a triangle, we can use the triangle inequality theorem. This states that the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 9 + 4 = 13, which is greater than 11; 9 + 11 = 20, which is greater than 4; and 4 + 11 = 15, which is greater than 9. Since all conditions are satisfied, the segments can indeed form a triangle.
A triangle with side lengths of 5 12 and 13 is which type of triangle?
Answer: Right Triangle Note that 25+144=169 which is 13 squared. This tells us it is a right triangle.
What is the area of a triangle with 11cm 8cm 7cm?
To calculate the area of a triangle with side lengths of 11cm, 8cm, and 7cm, we first need to determine the semi-perimeter of the triangle. The semi-perimeter (s) is calculated by adding all three sides together and dividing by 2, so s = (11 + 8 + 7) / 2 = 13 cm. Next, we can use Heron's formula to find the area of the triangle, which is given by the formula: Area = √[s(s-a)(s-b)(s-c)], where a, b, and c are the side lengths. Plugging in the values, we get Area = √[13(13-11)(13-8)(13-7)] = √[1325*6] = √780 ≈ 27.93 cm².
What kind of triangle is one with side lengths of 5 12 and 13?
A right-angled triangle. Per Pythagoras: (5*5) + (12*12) = 13*13
A triangle has a perimeter of 42in the lengths of two sides of the triangle are 13in and 16in find the length of the third side?
13 in
Can you have a triangle with the sides 4 13 and 14?
To check whether it is possible to have a triangle with side lengths 4cm, 13cm, and 14cm, we use a special rule.The rule is: If you take any two sides of a triangle and add their lengths, the sum of the lengths must be greater than the third side.Test this triangle. 4+13=17, which is bigger than 14. 14+4=18, which is bigger than 13. 13+14=27, which is greater than 4.The rule works for all side combinations, so it is possible to have a triangle like this.So the answer is: yes, you can have a triangle of side lengths 4cm, 13cm, 14cm. (Note that the lengths do not have to be in centimeters, for example they can be 4m, 13m, and 14m)
Can you have a triangle with side lengths of 4 centimeters 8 centimeters and 13 centimeters?
No. The sum of the lengths of two sides of a triangle must always at least slightly exceed the length of the third side, and the given numbers do not conform to this rule.
what- Suppose the side lengths of a triangle have the ratio 5:12:13. Some possible triangles are shown here. Now suppose the perimeter of the triangle is ninety centimeters.What are the side lengths?
Given that the perimeter of the triangle is 90 centimeters, we can determine the actual side lengths by multiplying the ratio by a common factor. The total ratio value is 5 + 12 + 13 = 30. To find the actual side lengths, we divide the perimeter by this total ratio value: 90 / 30 = 3. Therefore, the side lengths of the triangle are 5 x 3 = 15 cm, 12 x 3 = 36 cm, and 13 x 3 = 39 cm.
What is the area of a right triangle with side lengths of 6 and 13?
half of the product of these two sides ie (6 x 13)/2 ie 39
Can the side lengths 13cm 10cm and 22cm form a triangle?
To determine if the side lengths 13 cm, 10 cm, and 22 cm can form a triangle, 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. Here, 13 cm + 10 cm = 23 cm, which is greater than 22 cm, but 10 cm + 22 cm = 32 cm (greater than 13 cm), and 13 cm + 22 cm = 35 cm (greater than 10 cm). However, since the sum of the two shorter sides (13 cm and 10 cm) exceeds the longest side (22 cm), these lengths can indeed form a triangle.
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
