Questions in trigonometry

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$ABC$ is a right angled isosceles triangle with $\angle B={{90}^{o}}$. If D is a point on $AB$ so that $\angle DCB={{15}^{o}}$ and if $AD=35cm$ , then $CD=$
If in a triangle $ABC,a=5,b=4,A=\frac{\pi }{2}+B$ , then C
In $\Delta ABC,\ \,2{{R}^{2}}\sin A\sin B\sin C=$
In $\Delta ABC,$if $b=6,\,c=8\,$and $\angle A=90{}^\circ $, then R=
If the sides of a triangle are in ratio 3 : 7 : 8, then R : r is equal to
If the sides of triangle are 13, 14, 15, then the radius of its incircle is
The inradius of the triangle whose sides are 3, 5, 6, is
In an equilateral triangle of side $2\sqrt{3}$cm, the circum-radius is
In an equilateral triangle the inradius and the circum-radius are connected by
In any triangle ABC, $a\cot A+b\cot B+c\cot C=$

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