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The angles of a triangle are in a ratio ...

The angles of a triangle are in a ratio of 8:3:1. the ratio of the longest side of the triangle to the next longest side is

A

`sqrt(6):2`

B

`8:3`

C

`sqrt(3):1`

D

`8:5`

Text Solution

Verified by Experts

The correct Answer is:
A
The angles are `15^(@),45^(@) and 120^(@)`. Let c be the longest side and let b be the next
longest. `(sin120^(@))/(c)=(sin45^(@))/(b)." "(c)/(b)=(sin120^(@))/(sin45^(@))=((sqrt(3)))/((sqrt(2))/(2))=(sqrt(6))/(2)`.
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