SOLUTION: In Angle ABC, C is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth. a = 3, c = 19

Algebra ->  Pythagorean-theorem -> SOLUTION: In Angle ABC, C is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth. a = 3, c = 19      Log On


   

Question 982287: In Angle ABC, C is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth.
a = 3, c = 19
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Draw this triangle. A, over to the right. C to the left, B a little above C.
The right angle is at C. c is opposite C; a is opposite of A, and b is opposite of B.

These you know as given:
a=3,c=19, measure at angle C is 90 degrees.

a%5E2%2Bb%5E2=c%5E2
b%5E2=c%5E2-a%5E2
b=sqrt%28c%5E2-a%5E2%29
b=sqrt%2819%5E2-3%5E2%29-------b is now known.

Find at least angle A or B, and the other can be quickly found by angle sum to 180 degree.
Here is the most sensible choice: sin%28A%29=a%2Fc and then arcsin%28a%2Fc%29=A.


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A, B, C, used here both as variables for each angle as well as for naming the points