No, you cannot construct a triangle with side lengths 2 yd, 9 yd, and 10 yd. This is because the sum of the lengths of the two shorter sides (2 yd + 9 yd = 11 yd) must be greater than the length of the longest side (10 yd) to satisfy the triangle inequality theorem. Since 11 yd is greater than 10 yd, these lengths do not form a triangle.
Doubling the side lengths of a triangle results in a perimeter that is also doubled. The perimeter of a triangle is the sum of its three side lengths, so if each side length is multiplied by two, the total perimeter will similarly be multiplied by two. For example, if a triangle has side lengths of 3, 4, and 5, its original perimeter is 12, and if the side lengths are doubled to 6, 8, and 10, the new perimeter will be 24.
No because the sum of the smaller lengths must be greater than the longest length
There is no such triangle because in order to construct a triangle the sum of its 2 smaller sides must be greater than its longest side.
The last side length could be between 4 units and 10 units inclusive.
No. The '6' and '4' sides would flop down and lie exactly on top of the '10' side.The whole thing would look like a line segment that's 10 cm long.
Doubling the side lengths of a triangle results in a perimeter that is also doubled. The perimeter of a triangle is the sum of its three side lengths, so if each side length is multiplied by two, the total perimeter will similarly be multiplied by two. For example, if a triangle has side lengths of 3, 4, and 5, its original perimeter is 12, and if the side lengths are doubled to 6, 8, and 10, the new perimeter will be 24.
No
Yes.
11, 4, 8
No because the sum of the smaller lengths must be greater than the longest length
There is no such triangle because in order to construct a triangle the sum of its 2 smaller sides must be greater than its longest side.
The last side length could be between 4 units and 10 units inclusive.
Yes, one side is 5, one side is 10, and the third side can be however long you can make it. As long as it connects with the edges of the side of 5 and the side of 10.
No. The '6' and '4' sides would flop down and lie exactly on top of the '10' side.The whole thing would look like a line segment that's 10 cm long.
Information about the lengths of two sides of a triangle is insufficient to determine its area.
When two shapes have proportionally equivalent lengths and angles, they are geometrically similar. For example, take a triangle with sides of length 3, 4, and 5. Another triangle with side lengths 6, 8, and 10 would be geometrically similar to it because its angles are the same and its side lengths are proportional.
No because it does not comply with Pythagoras; theorem if the lengths were 10, 24 and 26 then it would be.