Question

If the angles of a triangle are in the ratio 30° , 75° and 75° then the sides are in the ratio

• A. √2 :√3+1 : √3 + 1
• B. 1 :√3+1 : √3 + 1
• C. √2 :√3: √3
• D. √3 :√3+1 : √3 + 1

Answer 1

Answer:

A. √2 :√3+1 : √3 + 1

a : b: c = sinA : sin B: sin C = sin 30 : sin 75 : sin 75 sin 75 = (sin 45+30) = sin45cos30+cos45sin30 = 1/√2 . √3/2 + 1/√2 . 1/2 = 1/2 : √3+1/2√2 : √3+1/√2 =√2 + √3+1 : √3+1