SOLUTION: In a right triangle the hypotenuse is labeled B. The second longest side is labeled A and the shortest is 3. the angle between side B and 3 is 72 degrees. B= ? and A = ?

Question 206120: In a right triangle the hypotenuse is labeled B. The second longest side is labeled A and the shortest is 3. the angle between side B and 3 is 72 degrees. B= ? and A = ?
Found 2 solutions by stanbon, Targetweek:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a right triangle the hypotenuse is labeled B. The second longest side is labeled A and the shortest is 3. the angle between side B and 3 is 72 degrees. B= ? and A = ?
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Draw the picture
tan(72) = A/3
A = 3*tan72
A = 9.233
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cos(72) = 3/B
B = 3/cos(72)
B = 9.708
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Cheers,
Stan H.
Answer by Targetweek(62) (Show Source): You can put this solution on YOUR website!
1. First set up your triangle
2. Because
a. We can write the following equation
-
b. Then solve for A
-
-
-
=
3. Now use
-
a. Solve for B
-
-
-
-
-
=
4. So A = 9.2331 and B = 9.7087
---Check---
-
-
- (It won't be exactly the same because we rounded earlier)
= Correct
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