in triangle RST, ∠R=75°, ∠S=45°, and t=3. find r and s.

Answer 1

T= 180-75-45 = 180-120 = 60 degrees

r/sin75 = t/sin60 = 3/sqr3/2 = 3.45

r = 3.46sin75 = 3.34

s/sin45 = 3.45

s = 3.45sin45 = 3.45(.707) = 2.44

r=3.34, s= 2.44 rounded off to 2 decimal places

the longest side is opposite the largest angle

R>T>S, 75>60>45, 3.45>3>2.44, r>t>s