Find the exact value of the remaining sides of a 30 degree 6
Find the exact value of the remaining sides of a 30 degree -60 degree -90 degree triangle if the hypotenuse is square root of 3
Solution
let A= 30 degree ,B=60 degree ,C=90 degree
given hypotenuse is square root of 3
=>c=3
by law of sines a/sinA =b/sinB =c/sinC
a/sinA =c/sinC
a/sin30o =3/sin90o
a =(sin30o)3/1
a =(1/2)3
a =3/2
a=0.866
b/sinB =c/sinC
b/sin600 =3/sin90o
b =sin6003/1
b =(3 /2)*3
b =3 /2
b=1.5
remaining sides are 3 /2 =0.866, 1.5

