No.
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.
Yes.
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?
yes
Line segments of lengths 94 and 15 could form a triangle provided the third side was in the range (79, 109).
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. The sum of the lengths of any two sides of a triangle must be greater that the third. Here 6 + 9 = 15, not > 15.
Yes they do. We find this by applying the pythagorean theorum. Since 9^2 + 12^2 = 15^2, they form a right triangle.
Yes.
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?
yes
No
No.
Yes.
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.