If the lengths of two sides of a triangle are 5 cm and 12 cm, what is the maximu
Practice Questions
Q1
If the lengths of two sides of a triangle are 5 cm and 12 cm, what is the maximum possible length of the third side?
16 cm
17 cm
18 cm
19 cm
Questions & Step-by-Step Solutions
If the lengths of two sides of a triangle are 5 cm and 12 cm, what is the maximum possible length of the third side?
Step 1: Identify the lengths of the two sides of the triangle. In this case, they are 5 cm and 12 cm.
Step 2: Understand the triangle inequality theorem. This theorem states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides.
Step 3: Calculate the sum of the two known sides. Add 5 cm and 12 cm together: 5 + 12 = 17 cm.
Step 4: Conclude that the maximum possible length of the third side must be less than this sum. Therefore, the maximum length of the third side is 17 cm.
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.
