Two corners of a triangle have angles of # ( pi )/ 2 # and # ( pi ) / 4 #. If one side of the triangle has a length of # 7 #, what is the longest possible perimeter of the triangle?
1 Answer
Sep 8, 2016
Explanation:
If two angles are
then the third angle is
and
the triangle is a right-angle, isosceles triangle.
The longest perimeter will occur if the non-hypotenuse sides have a length of
In this case the hypotenuse will have a length of
and
the perimeter will be
