In a triangle ABC,if frac{cos A}{a} = frac{co | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Given,$\frac{\cos A}{a} = \frac{\cos B}{b} = \frac{\cos C}{c}$.By the sine rule,we know that $a = k \sin A$,$b = k \sin B$,and $c = k \sin C$,wher

Vedclass · Accepted Answer

equilateral

Vedclass · Answer

(C) Given,$\frac{\cos A}{a} = \frac{\cos B}{b} = \frac{\cos C}{c}$.By the sine rule,we know that $a = k \sin A$,$b = k \sin B$,and $c = k \sin C$,where $k$ is a constant.Substituting these in the given equation:$\frac{\cos A}{k \sin A} = \frac{\cos B}{k \sin B} = \frac{\cos C}{k \sin C}$$\cot A = \cot B = \cot C$Since $A, B, C$ are angles of a triangle,$\cot A = \cot B = \cot C$ implies $A = B = C$.Since all angles are equal to $60^{\circ}$,the triangle is equilateral.

In a $\triangle ABC$,if $\frac{\cos A}{a} = \frac{\cos B}{b} = \frac{\cos C}{c}$,then $\triangle ABC$ is

Similar Questions

The coefficient of $x^4$ in the expansion of $\frac{(1-3x)^2}{(1-2x)}$ is equal to

$A$ gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then

Which of the following cylindrical rods will conduct the most heat when their ends are maintained at the same steady temperatures?

In a mutational event,when adenine is replaced by guanine,it is the case of

If $\frac{d^2y}{dx^2} = 0$,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module