If the lengths of two sides of a triangle are 8 cm and 6 cm, what is the range o
Practice Questions
Q1
If the lengths of two sides of a triangle are 8 cm and 6 cm, what is the range of possible lengths for the third side?
2 cm to 14 cm
2 cm to 10 cm
4 cm to 14 cm
4 cm to 10 cm
Questions & Step-by-Step Solutions
If the lengths of two sides of a triangle are 8 cm and 6 cm, what is the range of possible lengths for the third side?
Step 1: Identify the lengths of the two sides of the triangle. Here, they are 8 cm and 6 cm.
Step 2: Calculate the difference between the two sides. This is |8 - 6| = 2 cm.
Step 3: Calculate the sum of the two sides. This is 8 + 6 = 14 cm.
Step 4: The length of the third side must be greater than the difference (2 cm) and less than the sum (14 cm).
Step 5: Write the inequality for the third side: 2 < third side < 14.
Triangle Inequality Theorem – The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
