Do all right triangles have the same angles?

Asked Apr 07 '22 at 09:32

Active Apr 07 '22 at 09:32

Viewed 49 times

I'm trying to find the complementary angles in a right rectangle and I've thought in these two triangles:

Do A and B have the same angles?

At first, I thought so. But now, I'm not sure. I think the angles value depend on the length of segments c, d, e and f.

asked Apr 07 '22 at 09:32

VansFannel

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No, the other angles can have every value as long as they sum to $90$ degrees and are strictly between $0$ and $90$ degrees. – Peter Apr 07 '22 at 09:34
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"I think the angles value depend on the length of segments c, d, e and f." You thought correct. – eyeballfrog Apr 07 '22 at 09:35
@hellofriends You mean all right triangles would have this property , since the question assumes right triangles. – Peter Apr 07 '22 at 09:36
@Peter drawing the heights of a random triangle you would get either that the triangle is equilateral or rectangle and isosceles I think – hellofriends Apr 07 '22 at 09:40
Do you already have learned how the sine , the cosine and the tangens of the angles of a right triangle can be expressed by two of the sides ? – Peter Apr 07 '22 at 09:41
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@Peter No, I don't. – VansFannel Apr 07 '22 at 09:49
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Simple test: in the triangle A, make the top vertex move along the vertical: the triangle still has a right angle, what about the other two, are they constant? – Jean-Claude Arbaut Apr 07 '22 at 10:12
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See also the law of cosines and the law of sines. – user2661923 Apr 07 '22 at 11:05

0 Answers0