Which of the following set of side lengths can be used to draw a triangle? Remeber Triangle Ineality Theorem
A. 2cm, 3cm, 6cm
B. 6cm, 5cm, 10cm
C. 7cm, 9cm, 16cm
D. 10cm, 10cm, 20cm
According to the Triangle Inequality Theorem, for a triangle to be drawn, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's consider each set of side lengths:
A. 2cm, 3cm, 6cm
2 + 3 = 5 < 6
This set of side lengths cannot be used to draw a triangle.
B. 6cm, 5cm, 10cm
6 + 5 = 11 > 10
5 + 10 = 15 > 6
6 + 10 = 16 > 5
This set of side lengths can be used to draw a triangle.
C. 7cm, 9cm, 16cm
7 + 9 = 16 > 7
7 + 16 = 23 > 9
9 + 16 = 25 > 7
This set of side lengths can be used to draw a triangle.
D. 10cm, 10cm, 20cm
10 + 10 = 20 > 10
10 + 20 = 30 > 10
10 + 20 = 30 > 10
This set of side lengths can be used to draw a triangle.
Therefore, the correct answer is: B. 6cm, 5cm, 10cm, C. 7cm, 9cm, 16cm, and D. 10cm, 10cm, 20cm
you have to pick one
My apologies for the confusion. Among the given options, the set of side lengths that can be used to draw a triangle is:
B. 6cm, 5cm, 10cm