No, it is not possible to build a triangle with side lengths of 8, 7, and 15. According to the triangle inequality theorem, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 8 + 7 equals 15, which is not greater than 15, so these lengths cannot form a triangle.
A scalene triangle
The lengths of the legs of a right triangle are 15 cm and 20 cm. What is the length of the hypotenuse?
No.
yes
To determine if segments of lengths 8, 7, and 15 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, 8 + 7 = 15, which is not greater than 15. Therefore, segments of lengths 8, 7, and 15 cannot form a triangle.
No
No.
Yes, it is possible.
Yes, it is.
a scalene triangle is a triangle with three differant sides
A scalene triangle
Yes, because 11 + 15 > 21, 11 + 21 > 15, and 15 + 21 > 11
The lengths of the legs of a right triangle are 15 cm and 20 cm. What is the length of the hypotenuse?
No.
yes
To determine if segments of lengths 8, 7, and 15 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, 8 + 7 = 15, which is not greater than 15. Therefore, segments of lengths 8, 7, and 15 cannot form a triangle.
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.