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Ratio interpretation from diagram

Ratio interpretation from a diagram means reading a right-triangle sketch correctly and deciding which trig ratio the marked sides represent.

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Main explanation

Teacher explanation

Diagrams in trigonometry are meant to help, but they can also mislead if the angle is not marked carefully. The same triangle can give different opposite and adjacent sides depending on which acute angle is chosen. Correct reading of the diagram is the key exam skill.

Example

In a right triangle with angle A marked at one acute corner, the side across from A is opposite, the side next to A is adjacent, and the longest side is the hypotenuse.

Simple analogy

The angle decides the names, not the drawing alone.

Common confusion

Students often label the same side as opposite for one angle and then reuse it for another angle without checking the new reference angle.

Exam tip

Before writing the ratio, trace the chosen angle with your finger and relabel all three sides from that point.

Answer writing and exam use

1-mark use

Write the exact meaning of ratio interpretation from diagram in one clean line.

2-mark use

Define ratio interpretation from diagram and add one example or condition.

3-mark use

Explain ratio interpretation from diagram, show the method or example, and mention the common mistake.

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