1.

The angles of a triangle are in the ratio `1:2:3` , then the sides of a triangle are in the ratioA. `1:sqrt(3):2`B. `2:sqrt(3):1`C. `sqrt(3):2:1`D. `3:2:1`

Answer» Correct Answer - A
Given, `(angleA)/(1)=(angleB)/(2)=(angleC)/(3)=(A+B+C)/(1+2+3)=(180^(@))/(6)=30^(@)`
`thereforeangleA=30^(@),angleB=60^(@),angleC=90^(@)`
By sine rule ,
`a:b:c=sinA:sinB:sinC`
`=sin30^(@):sin60^(@):sin90^(@)`
`=(1)/(2):(sqrt(3))/(2):1=1:sqrt(3):2`


Discussion

No Comment Found

Related InterviewSolutions