The sets of side lengths that can be used to draw a triangle are:
- 2 cm, 3 cm, 6 cm
- 6 cm, 5 cm, 10 cm
- 7 cm, 9 cm, 16 cm
The set of side lengths that cannot be used to draw a triangle is:
- 10 cm, 10 cm, 20 cm
This is because in order for a triangle to be formed, the sum of the lengths of any two sides must be greater than the length of the third side. In the case of the last set of side lengths, 10 cm + 10 cm = 20 cm, which is equal to the third side length. Therefore, a triangle cannot be formed.
Which of the following sets of side lengths can be used to draw a triangle? Rememeber the Triangle Inequality Theorem.(1 point)Responses2 cm, 3 cm, 6 cm2 cm, 3 cm, 6 cm6 cm, 5 cm, 10 cm6 cm, 5 cm, 10 cm7 cm, 9 cm, 16 cm7 cm, 9 cm, 16 cm10 cm, 10 cm, 20 cm
1 answer