If the ratio of the lengths of two sides of a triangle is 3:4 and the length of
Practice Questions
Q1
If the ratio of the lengths of two sides of a triangle is 3:4 and the length of the shorter side is 9 cm, what is the length of the longer side? (2022)
12 cm
15 cm
18 cm
21 cm
Questions & Step-by-Step Solutions
If the ratio of the lengths of two sides of a triangle is 3:4 and the length of the shorter side is 9 cm, what is the length of the longer side? (2022)
Step 1: Understand the ratio of the sides. The ratio 3:4 means for every 3 parts of the shorter side, the longer side has 4 parts.
Step 2: Identify the length of the shorter side. The problem states that the shorter side is 9 cm.
Step 3: Set up the relationship using the ratio. If the shorter side is 3 parts, then we can say 3 parts = 9 cm.
Step 4: Find the value of one part. To find the length of one part, divide the length of the shorter side by 3: 9 cm ÷ 3 = 3 cm per part.
Step 5: Calculate the length of the longer side. The longer side is 4 parts, so multiply the length of one part by 4: 3 cm × 4 = 12 cm.
Step 6: State the final answer. The length of the longer side is 12 cm.
