The angles of a triangle are in the ratio 5:3 | vedclass

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Question

(A) Let the angles of the triangle be $5x$,$3x$,and $7x$.As the sum of the angles of a triangle is $180^{\circ}$,we have:$5x + 3x + 7x = 180^{\circ}$$

Vedclass · Accepted Answer

an acute angled triangle

Vedclass · Answer

(A) Let the angles of the triangle be $5x$,$3x$,and $7x$.As the sum of the angles of a triangle is $180^{\circ}$,we have:$5x + 3x + 7x = 180^{\circ}$$15x = 180^{\circ}$$x = 180^{\circ} / 15 = 12^{\circ}$Therefore,the angles of the triangle are:$5 	imes 12^{\circ} = 60^{\circ}$$3 	imes 12^{\circ} = 36^{\circ}$$7 	imes 12^{\circ} = 84^{\circ}$Since each angle of the triangle is less than $90^{\circ}$,all the angles are acute.Therefore,the triangle is an acute angled triangle.

The angles of a triangle are in the ratio $5:3:7$. The triangle is

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