Q.

If the angles of a triangle are in the ratio 3:5:10 then the ratio of smallest side to greatest side is

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

1:2sin 100

b

1:cos 100

c

1:sin 100

d

1:2cos 100

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

detailed_solution_thumbnail

Given A:B:C=3:5:10

Here A is smallest angles and C is longest angles

A+B+C=180°

So that A=30°,C=100°

Hence, the opposite sides are smalles and longest

ac=2RsinA2RsinB =sin30°sin100° =12cos10°

Therefore, the ratio of shortest and longest side is 1:2cos10°

Watch 3-min video & get full concept clarity

hear from our champions

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon