Question 1036004: A right triangle has side lengths that are consecutive integers and a perimeter of 12 feet. What are the angles of the triangle???
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A right triangle has side lengths that are consecutive integers and a perimeter of 12 feet. What are the angles of the triangle???
--------
x + (x+1) + (x+2) = 12
3x = 9
x = 3
------
Sides are 3,4,5
-----------------------
Let the angles be A, B, C.
----
Smallest angle is the angle opposite the smallest side::
sin(A) = 3/5
A = arcsin(3/5) = arcsin(0.6) = 36.87 degrees
-----
B = arcsin(4/5) = arcsin(0.8) = 53.13 degrees
------
C = 90 degrees
-------------
Cheers,
Stan H.
----------
|
|
|
