Question

a=root3+1,angleB=30°,angleC=45°,then find c=? ​

Answer 1

Answer:

root2

Step-by-step explanation:

For any triangle we have a rule known as "sine rule"(please search what is sine rule) which states:

a/sineA=b/sineB=c/sineC

Now,

a/sineA=b/sineB

(root3 +1)/sineA=b/sine30

=>(root3 +1)/sineA=b/(1/2)

=>(root3 +1)/sineA=b/sine30

=>sineA=(root3+1)/2

Now we know, a/sineA=c/sineC

=>c=(a ×sineC)÷SineA

=>c=(root3+1)×sin45 ÷(root3+1)/2

=>c=root2