Question

The ratio of angle measures of ABC is α : β : γ = 3 : 2 : 13 . Find the length of the shortest side if a-b = 3.

Answer 1

Answer:

Let angles are 3x , 2x and 13x respectively .

so,

→ 3x + 2x + 13x = 180°

→ 18x = 180°

→ x = 10°

then,

→ a = 3x = 3 * 10 = 30°

→ b = 2x = 2 * 10° = 20°

→ y = 13x = 130°

then,

→ a/ sin a = b / sin b

→ a / sin 30° = b / sin 20°

→ sin 20° / sin 30° = b / a

→ sin 20° / sin 30° = b / (b + 3)

→ 2 * sin 20° = b / (b + 3)

→ 2 * 0.34 = b / (b + 3)

→ 0.68 * b + 2.04 = b

→ 2.04 = b - 0.68b

→ 2.04 = 0.32b

→ b = 6.375 (Ans.)

Learn more :-

which if the following sets of measurement are side length of an obtuse triangle?

a) 3,4,5

b) 2,3,3

c) 4,5,7

d) 6,7,8

brainly.in/question/39224054

Step-by-step explanation: