How do you solve the triangle DEF, where, angle E is 144 degrees side e is 10.5m and side f is 12.5m?

1 Answer
Alan P.
Nov 21, 2015

No such triangle is possible

Explanation:

The side opposite the largest angle in a triangle must be larger than either of the other two sides.

If #/_E =144^@#
#color(white)("XXX")/_D+/_F = 36^@#
#color(white)("XXX")rarr /_E# is the largest angle in the triangle

#rArr# side #e > # side #f#

but we are told
#color(white)("XXX")#side #e = 10.5# m
and
#color(white)("XXX")#side #f=12.5# m
#rArr# side #e < # side #f#

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