Hh​

for the triangle on top on side is 8 one side is 4 so if we use the theorem

64+16=80

a=9

so

Side a = 19.8242

Side b = 17.66349

Side c = 9

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 63° = 1.09956 rad = 7/20π

Angle ∠C = 27° = 0.47124 rad = 3/20π

Area = 79.48573

Perimeter p = 46.4877

Semiperimeter s = 23.24385

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.