SOLUTION: Find the lengths of all three sides of a right triangle that has perimeter 30 and has a 43 degree angle.

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Question 907311: Find the lengths of all three sides of a right triangle that has perimeter 30 and has a 43 degree angle.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Assume your triangle has hypotenuse , side opposite the 43 degree angle of , and the third side .

Since the sum of the two acute angles of any right triangle must be 90, the third angle in this triangle is 47 degrees.

From the trigonometry of a right triangle we know that the measure of side is given by , the measure of side is given by , and the measure of the hypotenuse is simply , hence:





Solve for and then you can calculate the other two sides using the previously given relationships. Hint: Remember to set your calculator to degree mode.

John

My calculator said it, I believe it, that settles it