Is this statement always, sometimes, or never true?If ∠R and ∠S are acute angles in an isosceles right triangle, then sin(R)=sin(S).alwayssometimesneverSubmit
Question
Is this statement always, sometimes, or never true?If ∠R and ∠S are acute angles in an isosceles right triangle, then sin(R)=sin(S).alwayssometimesneverSubmit
Solution
The statement is sometimes true. In an isosceles right triangle, the two acute angles are not always equal. One is 45 degrees and the other is 90 degrees minus 45 degrees, which is also 45 degrees. So, in this specific case, sin(R) would equal sin(S). However, if the angles R and S were not 45 degrees, then sin(R) would not equal sin(S). Therefore, the statement is sometimes true.
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