SOLUTION: In triangle ABC, C is the right angle, B = 30 degrees, and side b = 3. Find the exact value of the missing sides. Thank you for your help.
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-> SOLUTION: In triangle ABC, C is the right angle, B = 30 degrees, and side b = 3. Find the exact value of the missing sides. Thank you for your help.
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Question 92798: In triangle ABC, C is the right angle, B = 30 degrees, and side b = 3. Find the exact value of the missing sides. Thank you for your help. Found 2 solutions by venugopalramana, ikleyn:Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website! In triangle ABC, C is the right angle, B = 30 degrees, and side b = 3. Find the exact value of the missing sides. Thank you for your help.
WE HAVE SIN(B)=SIN(30)=0.5=AC/AB=b/c=3/c
AB = c =3/0.5=6
TAN(B)=TAN(30)=SQRT(3)=1.7321=AC/BC=b/a=3/a
BC = a = 3/1.7321=1.7321
You can put this solution on YOUR website! .
In triangle ABC, C is the right angle, B = 30 degrees, and side b = 3. Find the exact value of the missing sides.
Thank you for your help.
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The solution in @venugopalramana's post is incorrect.
Below is my correct solution.
In this right-angled triangle, the leg b = 3 is opposite the acute angle B of 30 degrees.
Hence, the hypotenuse 'c' = |AB| is twice leg 'b', so c = 2*3 = 6.
The other leg 'a' is a = = = 5.196 (approximately).
ANSWER. The exact values of the missing sides are c = AB = 6 (hypotenuse) and a = BC = (the other leg).
