Question

Please help! Medal and fan for best answer. :)

Answer 1

How do similar right triangles lead to the definitions of the trigonometric ratios?

Answer 2

@jim_thompson5910 Could you try to help?

Answer 3

My notes say this:
The term trigonometry comes from a Greek word meaning “triangle measuring.”
The sine of an angle within a right triangle is found by dividing the length of the opposite side by the length of the hypotenuse.
The cosine of an angle within a right triangle is found by dividing the length of the adjacent side by the length of the hypotenuse.
The tangent of an angle within a right triangle is found by dividing the length of the opposite side by the length of the adjacent side.

But I am not sure which one is the right answer for the question.

Answer 4

so the question is `How do similar right triangles lead to the definitions of the trigonometric ratios?`

and there are no answer choices? it's a fill in the blank kind of question?

Answer 5

This is one of the questions I am going to be asked on my oral test, so I want to make sure I know how to answer it. There are no multiple choice answers.

Answer 6

let's say we had this right triangle

Answer 7

Alright

Answer 8

cut each length in half to get this similar triangle

Answer 9

oops typo

Answer 10

let's say we place the reference angle theta here

Answer 11

for the large triangle, we know

opposite/hypotenuse = 6/10 = 3/5 = 0.6


for the small triangle, we know

opposite/hypotenuse = 3/5 = 0.6

Answer 12

the ratio of those two sides forms the sine of the angle theta

Answer 13

so if we want to make a similar triangle, we just need to make sure that the ratio of 0.6 stays the same

Answer 14

I just don't understand the question. It should be on the notes page of my lesson but I can't seem to find it.

Answer 15

Do they relate because the sides are always proportional and then the sine, cosine, and tangent is found by dividing the lengths?

Answer 16

you agree that similar right triangles have the same angles right?

Answer 17

Yes

Answer 18

so let's say you didn't have a protractor and you couldn't measure the angles

how can you check to see if the two angles are congruent?

Answer 19

Ummm using AAA or the other ones lol