In a triangle,if the angles are in the ratio | vedclass

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

Question

(B) Let the angles be $3x, 2x, x$. Since the sum of angles in a triangle is $180^{\circ}$,we have $3x + 2x + x = 180^{\circ}$. $6x = 180^{\circ} \Righ

Vedclass · Accepted Answer

$2: \sqrt{3}: 1$

Vedclass · Answer

(B) Let the angles be $3x, 2x, x$. Since the sum of angles in a triangle is $180^{\circ}$,we have $3x + 2x + x = 180^{\circ}$. $6x = 180^{\circ} \Rightarrow x = 30^{\circ}$. Thus,the angles are $A = 90^{\circ}, B = 60^{\circ}, C = 30^{\circ}$. Using the Sine Rule,the ratio of the sides $a: b: c$ is $\sin A: \sin B: \sin C$. $a: b: c = \sin 90^{\circ}: \sin 60^{\circ}: \sin 30^{\circ}$. $a: b: c = 1: \frac{\sqrt{3}}{2}: \frac{1}{2}$. Multiplying by $2$,we get $a: b: c = 2: \sqrt{3}: 1$.

In a triangle,if the angles are in the ratio $3: 2: 1$,then the ratio of its sides is

Similar Questions

If two angles of $\triangle ABC$ are $\frac{\pi}{4}$ and $\frac{\pi}{3}$,then the ratio of the smallest and greatest side is

If the sides of a triangle are three consecutive natural numbers and its largest angle is twice the smallest one,then the area (in sq. units) of that triangle is

In a triangle $ABC$,if $r_1 r_2 + r_3 r = 35$,$r_2 r_3 + r r_1 = 63$,and $r_3 r_1 + r r_2 = 45$,then $2s =$

In a $\Delta ABC,$ if $a = 2x,$ $b = 2y$ and $\angle C = 120^\circ,$ then the area of the triangle is

With usual notations,in a triangle $ABC$,if $\theta$ is any real number,then $a \cos (B-\theta) + b \cos (A+\theta)$ is equal to:

Vedclass Test Series

Exam Paper Generator

Online Exam Module