Question

If the sin of angle x is 4/5, and the triangle was dilated to be two times as big as the original, what would be the value of the sin of x for the dilated triangle?

Answer 1

Sine is invariant during dilation.

Answer 2

Sin of the angle is unchanged regardless of the size; it is a ratio related only to the angle, not the size of the triangle

Answer 3

The dilated triangle is similar to the original one. So, the ratio of corresponding sides will remain the same. By definition of similar triangles, corresponding sides are in proportion

Answer 4

it would remain 4/5

Answer 5

@kaitling

Answer 6

Thank you! @tkhunny @youngjuvie