The measure off DF is 11.
In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.
DF=DT+TF=4+7=11.
Step-by-step explanation:
L+W+L+W=26 so 2L=26–2W and you can find length from the perimeter as L=13−W
LW=42 so L=42/W is the other way to find the length, from the area. Both ways require you to know W, but if you have both pieces of information the two answers for length must be the same 42/W=13−W, and you solve this:
42=13W−W2
W2–13W+42=0
(W−6)(W−7)=0
Either W−6=0 or W−7=0
Answer: 10 1/9
Step-by-step explanation:
