7400200087

Question: 
Consider triangle $ABC$, where $|AB| = c$, $|AC| = b$, and $|BC| = a$. Let $\alpha$ be the angle at vertex $A$, $\beta$ be the angle at vertex $B$, and $\gamma$ be the angle at vertex $C$. Three of the given sets of two side lengths and one angle measure specify a right triangle $ABC$ with a right angle at vertex $C$ (the side lengths and angle measures are rounded to one decimal place). Identify those sets.
Project ID: 
7400200087
SubArea: 
Answer 1: 
$a=3$, $b=4$, $\alpha=36.9^{\circ}$
Answer 1 Correct: 
1
Answer 2: 
$a=5$, $b=12$, $\alpha=22.6^\circ$
Answer 2 Correct: 
1
Answer 3: 
$a=24$, $b=7$, $\beta=16.3^\circ$
Answer 3 Correct: 
1
Answer 4: 
$a=7$, $b=24$, $\alpha=20.3^\circ$
Answer 4 Correct: 
0
Answer 5: 
$a=8.2$, $b=3.1$, $\beta=50.1^\circ$
Answer 5 Correct: 
0
Answer 6: 
$a=5$, $b=6$, $\beta=30^{\circ}$
Answer 6 Correct: 
0
Answer 7 Correct: 
0
Answer 8 Correct: 
0