Triangle EFG is an obtuse triangle. Two of its sides measure 13 cm and 7 cm. What is the range of
possible values for its third side to the nearest tenth of a centimeter?

1 to 19.9 cm

Step-by-step explanation: The third side cannot exceed the sum of the other two sides and must be less than the sum. Hope this helps!

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.