SOLUTION: Find the lengths of all three sides of a right triangle that has perimeter 30 and has a 43 degree angle.
Algebra.Com
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) (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
RELATED QUESTIONS
Find the lengths of all three sides of a right triangle that has perimeter 35 and has a... (answered by stanbon)
Find the lengths of all three sides of a right triangle that has perimeter 26 and has a... (answered by KMST)
Find the lengths of all three sides of a right triangle that has perimeter 28 and has a... (answered by Fombitz)
A triangle has sides of lengths 3,5 and x . determine all possible values of x so that... (answered by Fombitz)
Draw a triangle that has sides of lengths 3.6cm and 5.2cm and a 42 degree angle between... (answered by dyakobovitch)
A right triangle has an acute angle of 30◦ and a hypotenuse of 1 unit long. Find... (answered by Alan3354)
Right triangle ABC has a right angle at C and hypotenuse length 12. Angle A is pi/6... (answered by Fombitz)
A triangle has sides of lengths 6,12, and 15.find the measure of the smallest... (answered by Alan3354)
Suppose a right triangle has an acute angle of π/4 and a hypotenuse of length 4.... (answered by solver91311)
