Challenging Geometry Puzzle: Problem 1552. Share your solution by posting it in the comment box provided.

Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

Gain comprehensive insights! Click below to reveal the complete details.

Click for additional details.

Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

Trigonometry Solution

ReplyDeleteLet < BCA = x

Then by the Sine Rule for Triangle ABC

sin(x+7)/sinx = 6/5 = 1.2

sin7 + cos7. cot x = 1.2

tanx = sin7/(1.2 - cos7) = 0.5814

x = 30.43 degrees

If there is a pure geometry solution I would love to see it

Sumith Peiris

Moratuwa

Sri Lanka