SOLUTION: Find the lengths of all three sides of a right triangle that has perimeter 35 and has a 35 degree angle.
Algebra.Com
Question 921008: Find the lengths of all three sides of a right triangle that has perimeter 35 and has a 35 degree angle.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the lengths of all three sides of a right triangle that has perimeter 35 and has a 35 degree angle.
-----
The other acute angle is 65 degrees
-------
Let side opposite the 35 degree angle be "a"
Let side opposite the 65 degree angle be "b"
-------
a/sin(35) = b/sin(65)
0.5736b = 0.9063a
a/b = 0.5736/0.9063 = 0.6329
----------------------
a = 0.6329b
-------
a^2 + b^2 = c^2
(0.6329b)^2 + b^2 = c^2
0.4006b^2 + b^2 = c^2
1.4006b^2 = c^2
c^2/b^2 = 1/1.4006
c/b = 1.1835
------
c = 1.1835b
----
Note: a + b + c = 35 (given)
0.6329b + b +1.1835b = 35
2.8164b = 35
b = 12.43
a = 0.6329b = 0.6329*12.43 = 7.8653
c = 1.1835b = 1.1835*12.43 = 14.71
--------------------------
Cheers,
Stan H.
================
RELATED QUESTIONS
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 30 and has a... (answered by solver91311)
Find the lengths of all three sides of a right triangle that has perimeter 28 and has a... (answered by Fombitz)
REVIEW
35: If a triangle has sides of lengths 8, 4, and 4 sqrt(3), is the triangle... (answered by Earlsdon)
Find the unknown angle measure of a right triangle that has an angle of 35... (answered by Alan3354)
A triangle has a 35° angle and a right angle. Find the measure of the third... (answered by josgarithmetic)
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)
An isosceles triangle
has a perimeter of
71 cm. If the base is
35 cm, what are the... (answered by plover)