Question

The angle measures of a triangle are in the ratio 1 : 2 : 3. Are the side lengths also in the ratio 1 : 2 : 3? Hint: take the triangle 30-60 as an example

1. yes, it needs to have the same ratio
2. no, it cannot have the same ratio

Answer 1

9514 1404 393

Answer:

2. no, it cannot have the same ratio

Explanation:

The law of sines tells you the side lengths are proportional to the sine of the opposite angle. Sine is a non-linear function, so the sines of angles in a given ratio will not have the same ratio as the angle ratio.

no, the side lengths cannot have the same ratio