Question

How do you know if more then one right angle triangle all have the same sine ratio ?

Answer 1

All similar triangles will have the same trig ratios.

Explanation:

In similar triangles, the triangles can be bigger or smaller, but the sides are always in the same ratio.

So a right angled triangle with a `30°` angle might have its opposite side and hypotenuse with lengths:

`12 cm and 24cm`

`17cm and 34 cm`

`21.3cm and 42.6 cm`

`73 cm and 146 cm`

For all of the triangles with different sizes, the ratio of the `30°` angle will be `0.5`