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syms H1 H2 H3 l1 l2 l3 R r theta1 theta2 theta3
eq1=(3/2*R-l1.*sin(theta1)-1/2*l2.*sin(theta2)).^2+(sqrt(3)/2*(l2.*sin(theta2)-R))^2+(H1-l1.*cos(theta1)-H2+l2.*cos(theta2)).^2-3*(r.^2);
eq2=(1/2*(l2.*sin(theta2)-l3.*sin(theta3))).^2+(sqrt(3)/2*(2*R-l2.*sin(theta2)-l3.*sin(theta3))).^2+(H2-l2.*cos(theta2)-H3+l3.*cos(theta3)).^2-3*(r.^2);
eq3=(3/2*R-l1.*sin(theta1)-1/2*l3.*sin(theta3)).^2+(sqrt(3)/2*(R-l3.*sin(theta3))).^2+(H1-l1.*cos(theta1)-H3+l3.*cos(theta3)).^2-3*(r.^2);
theta0=[rand[1,3]*60]
f = matlabFunction([eq1;eq2;eq3],'vars',{[theta1 theta2 theta3]});
options=optimset('Display','iter','MaxFunEvals',1000,'TolFun',1e-10);
[x,fval,exitflag,output]=fsolve(f,theta0,options)
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