Table of Contents
- 1 Can 4cm 8cm and 14 make a triangle?
- 2 Can a triangle be formed with the side lengths of 8 cm 4 cm and 12cm?
- 3 Is it possible to have a triangle with the following sides 4cm 4cm and 8cm?
- 4 Can a triangle be formed with the sides lengths of 8 cm 6 cm and 14 cm?
- 5 Is it possible to have a triangle with 4cm 6cm and 8cm?
- 6 How do you determine if the triangles are identical?
- 7 How do you make a triangle identical to △ABC?
Can 4cm 8cm and 14 make a triangle?
No they can not.
Can a triangle be formed with the side lengths of 8 cm 4 cm and 12cm?
Add any two sides and see if it is greater than the other side. The sum of 4 and 8 is 12 and 12 is less than 15 . This set of side lengths does not satisfy Triangle Inequality Theorem. These lengths do not form a triangle.
Can these sides form a triangle 4 cm 6 cm 10 cm?
SOLUTION: Yes; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Is it possible to construct a triangle with the given side lengths 4 cm 7 cm 9 cm?
No, it is not possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm because here we see that sum of the lengths of two sides is equal to third side i.e., 4+3 = 7. As we know that, the sum of any two sides of a triangle is greater than its third side, so given statement is not correct.
Is it possible to have a triangle with the following sides 4cm 4cm and 8cm?
°• No triangle can be constructed with sides 4 cm, 4 cm, and 8 cm.
Can a triangle be formed with the sides lengths of 8 cm 6 cm and 14 cm?
, you can form a triangle with side lengths . ANSWER: Yes; Find the range for the measure of the third side of a triangle given the measures of two sides.
Is it possible to have a triangle with the following sides 11cm 4cm 6cm?
ANSWER: No; 11. SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Is it possible to construct a triangle with sides 8cm 7cm and 4cm?
Yes, its possible to construct a triangle with sides 8cm, 7cm and 4cm as in a triangle, the sum of the 2 shortest sides should be more than the largest side. Sum of smaller sides = 4 + 7 cm = 11cm, which is greater than 8cm. Hence, the triangle can be constructed.
Is it possible to have a triangle with 4cm 6cm and 8cm?
• b + c > a Thus, a triangle having sides of 4cm,4cm and 8cm can’t form a triangle.
How do you determine if the triangles are identical?
If the triangles are not identical, then △ABC can be made to be identical to △XYZ by swinging the appropriate side along the path of a circle with a radius length of that side. • A triangle drawn under the condition of two sides and a non-included angle, where the angle is 90° or greater, does determine a unique triangle.
How many triangles can be constructed with sides 6 cm?
This means that a triangle is in fact possible. How many triangles can be constructed with sides 6 cm, 2 cm, and 7 cm? One unique triangle. All other triangles with side lengths of 6 cm, 2 cm, and 7 cm represent a rigid transformation of the first one.
How many different triangles can be made with three measures?
Sometimes, two or more different triangles can be made with three given measures. For example, here are two different triangles that can be made with an angle measuring and side lengths 6 and 8. Notice the angle is not between the given sides.
How do you make a triangle identical to △ABC?
If the triangles are not identical, then △ABC can be made to be identical to △XYZ by swinging the appropriate side along the path of a circle with a radius length of that side. • A triangle drawn under the condition of two sides and a non-included angle, where the angle is 90° or greater, does determine a unique triangle.