The ratio of the lengths of two sides of a triangle is 4:5. If the shorter side

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Question: The ratio of the lengths of two sides of a triangle is 4:5. If the shorter side is 16 cm, what is the length of the longer side?

Options:

Correct Answer: 20 cm

Solution:

If the shorter side is 16 cm and the ratio is 4:5, then the longer side can be calculated as (5/4) * 16 cm = 20 cm.

The ratio of the lengths of two sides of a triangle is 4:5. If the shorter side is 16 cm, what is the length of the longer side?

The ratio of the lengths of two sides of a triangle is 4:5. If the shorter side is 16 cm, what is the length of the longer side?

Step 1: Understand the ratio of the sides. The ratio 4:5 means for every 4 parts of the shorter side, the longer side has 5 parts.
Step 2: Identify the length of the shorter side. The problem states that the shorter side is 16 cm.
Step 3: Set up the relationship using the ratio. If the shorter side is 4 parts, then we can represent the longer side as 5 parts.
Step 4: Find the value of one part. Since the shorter side (4 parts) is 16 cm, we can find the value of one part by dividing 16 cm by 4. So, 1 part = 16 cm / 4 = 4 cm.
Step 5: Calculate the length of the longer side. The longer side is 5 parts, so we multiply the value of one part (4 cm) by 5. Therefore, the longer side = 5 * 4 cm = 20 cm.

Ratio and Proportion – Understanding how to apply ratios to find unknown lengths in geometric figures.
Basic Algebra – Using algebraic manipulation to solve for unknowns based on given ratios.