SOLUTION: How do I work a problem llooking for the hypotenuse if the largest angle is 125°, the smallest side is 25 and the medium side is 150?

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Question 1030707: How do I work a problem llooking for the hypotenuse if the largest angle is 125°, the smallest side is 25 and the medium side is 150?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the hypotenuse if the largest angle is 125°, the smallest side is 25 and the medium side is 150?
:
This triangle is not a right triangle so no hypotenuse 90 + 125 > 180 degree
:
Assuming it is just an ordinary triangle, and you know two sides and the enclosed angle. SAS, use the law of cosines
a^2 = b^2 + c^2 - 2bc*cos(A)
where
b = 25
c = 150
A = 125 degrees
Find side a
a^2 = 25^2 + 150^2 - 2(25*150)*Cos(125)
a^2 = 625 + 22500 - 2(3750)*-.573576
a^2 = 23125 - (-4302); minus a minus is plus
a^2 = +27427
a = sqrt%2827427%29
a = 165.6 is the largest side