Which BEST describes the construction of a triangle if given the segment lengths of 3 cm, 5 cm, and 3 cm?
AAAaannndd the bot gets it wrong yet again!
of course it's possible. 6 is not less than 5!
An isosceles triangle, with base 5, and height √11/2
To determine if a triangle can be constructed with the given side lengths of 3 cm, 5 cm, and 3 cm, we can use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
In this case, let's compare the side lengths:
- 3 cm + 3 cm = 6 cm, which is less than 5 cm
Since the sum of the lengths of the two shorter sides (3 cm and 3 cm) is less than the length of the longest side (5 cm), a triangle cannot be constructed with these given segment lengths.
Therefore, the answer is that it is not possible to construct a triangle with side lengths of 3 cm, 5 cm, and 3 cm.
To determine if a triangle can be constructed using the given segment lengths, we need to apply the Triangle Inequality Theorem. According to this theorem, the sum of any two sides of a triangle must be greater than the third side.
In this case, we have segment lengths of 3 cm, 5 cm, and 3 cm. Let's check if these lengths satisfy the Triangle Inequality Theorem:
1. Sum of 3 cm and 5 cm: 3 + 5 = 8 cm
Is 8 cm greater than 3 cm? Yes.
2. Sum of 5 cm and 3 cm: 5 + 3 = 8 cm
Is 8 cm greater than 3 cm? Yes.
3. Sum of 3 cm and 3 cm: 3 + 3 = 6 cm
Is 6 cm greater than 5 cm? No.
Since the sum of the two shorter sides (3 cm and 3 cm) is not greater than the longest side (5 cm), it violates the Triangle Inequality Theorem. Therefore, using segment lengths of 3 cm, 5 cm, and 3 cm, it is not possible to construct a triangle.
This is not possible to construct a triangle with sides 3cm, 5cm, and 3cm.
For a triangle to be constructed, the sum of the lengths of any two sides must be greater than the length of the third side. However, in this case, the sum of the lengths of the two shorter sides (3cm and 3cm) is only 6cm, which is less than the length of the longest side (5cm). Therefore, a triangle cannot be constructed with these measurements.