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Unofficialllyy
 one year ago
Please help! Medal and fan for best answer. :)
Unofficialllyy
 one year ago
Please help! Medal and fan for best answer. :)

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Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0How do similar right triangles lead to the definitions of the trigonometric ratios?

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 Could you try to help?

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0My 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.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0so 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?

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0This 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.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0let's say we had this right triangle dw:1433986107369:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0cut each length in half to get this similar triangle dw:1433986215952:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0oops typo dw:1433986258148:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0let's say we place the reference angle theta here dw:1433986304712:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0for 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

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0the ratio of those two sides forms the sine of the angle theta

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0so if we want to make a similar triangle, we just need to make sure that the ratio of 0.6 stays the same

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433986433430:dw

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0I just don't understand the question. It should be on the notes page of my lesson but I can't seem to find it.

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0Do they relate because the sides are always proportional and then the sine, cosine, and tangent is found by dividing the lengths?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0you agree that similar right triangles have the same angles right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0so 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?

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0Ummm using AAA or the other ones lol

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0but we know nothing about the angles

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0let's say you had only a ruler

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0using the ruler, you can measure the segments but not the angles

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0you can use the converse of the SSS similarity theorem to say if the sides are in proportion, then the triangles are similar which will lead you to concluding the angles are congruent

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0with right triangles, you only need to worry about 2 sides (not all 3) and the trig functions are simply ratios of the sides

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0So how do similar right triangles and the trig ratios relate? I don't get it

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0For similar right triangles, the sine ratio will stay the same. The cosine ratio will stay the same. The tangent ratio will stay the same

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0Again the trig ratio is used to connect the angle with two sides the angle will stay the same since we're dealing with similar triangles (with congruent angles)

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0Oh so the trigonometric ratios will always be the same with similar right triangles

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433987739690:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0as long as theta stays where it is, for any other similar triangle you can think of, the sine ratio will stay put at 0.6

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0the sides may change, but their relationship or ratio will stay the same

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0for example, the opposite side may turn into 600, but the hypotenuse will also change to 1000 600/1000 = 0.6 the sine ratio stays the same
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