Use similarity of right angle triangles to observe the constancy of the trigonometric ratios

Reason For Learning

In today's professional world, there are many practical applications that rely on triangle similarity.Similar triangles can be applied to solve real world problems in areas such as architecture and even medicine. You can use similar triangles to measure distances that can't be reached.

Learning Intention

Students will learn about similar figures, corresponding sides, and scale factors. You will measure and calculate the scale factors of similar triangles and use this information to find the measurements of missing sides in a figure.

Key Vocabulary Terms

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    ACMMG223 Level 9

    Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles