x

f(x)=√(x²+80²)+√((180-x)²+45²)

f(x)

graf

a = 90 (slider from 60 to 90, step 1)
b = 180 (slider from 120 to 180, step 1)
A = (181.10550589206872, 188.24034808280106)
c: abs(a)
d_1: abs(b)
B = Point(Circle[A, abs(b)])
d = Segment(A, B)
e = OrthogonalLine(A, d)
f = Circle(A, a)
C, D_1 = Intersect(f, e)
g = OrthogonalLine(C, e)
h = OrthogonalLine(B, d)
D = Intersect(g, h)
mnohoúhelník1, a_1, b_1, d_2, c_1 = Polygon(A, B, D, C)
i = 6 (slider from 0 to 50, step 1)
k = Circle(A, i)
E = Intersect(k, e, 2)
p = Circle(B, i)
F = Intersect(p, h, 2)
q = Circle(D, i)
G = Intersect(q, h, 1)
r = Circle(C, i)
H = Intersect(r, e, 1)
j = Line(E, F)
l = Line(H, G)
I = Intersect(r, g, 2)
J = Intersect(q, g, 1)
m = OrthogonalLine(I, g)
n = OrthogonalLine(J, g)
K_1 = Intersect(j, m)
L_1 = Intersect(j, n)
M_1 = Intersect(l, n)
N = Intersect(l, m)
mnohoúhelník2, k_1, l_1, m_1, n_1 = Polygon(K_1, L_1, M_1, N)
O = Midpoint(a_1)
P = Midpoint(d_2)
s = Circle(C, 10)
K = Intersect(s, c_1, 1)
S = Midpoint(B, D)
M = Point(a_1)
t = Segment(K, M)
e_1 = Segment(M, S)
součet: Distance[K, M] + Distance[M, S]
text1 = LaTeX(součet, true, true)
f_1 = Segment(A, M)
α = Angle(K, A, O)
β = Angle(M, B, S)
o = false
g_1(x) = sqrt(x^(2) + 6400) + sqrt((180 - x)^(2) + 2025)
W: (Distance[A, M], g_1(Distance[A, M]))
h_1 = OrthogonalLine(W, xAxis)
L = Intersect(h_1, xAxis)
i_1 = Segment(W, L)
u = false