Can you find the angle θ | 3 Different Methods to Solve 

you could add another similar triangle below this triangle and then find the area through 2s=1/2*AC²*sin2o sin2o=2s/0.5*AC² sin2o=4/8=1/2 2o=30° o=15°

Very enlightening thank you. A word of caution about language use: When you are referring to a division you say x by y, but English-speaking people would usually say x OVER y. x BY y would normally refer to x multiplied by y. It's not a problem when there is a video to show this, but might be a problem without. I have noticed this with some other mathematicians who don't have English as a first language, so I assume that you are translating literally from your first language.

Sir thank your sir because of you im able to increase my thinking skilss, speed, accuracy i was able to do this in 1 min😊😊

Great x3 !

From Pythagorean identity we have first equation From formula for area of right triangle we have second equation and all we need to do is solve system of equations a^2+b^2 = 16 1/2ab = 2 Then calculate the ratio AB/AC Are there two possibilities ? In my opinion there are two possibilities 15 degrees or 75 degrees

Another method is to draw a reflection of the triangle along the line BC, so we have the area of both triangles is 4. i.e 4.4sin2theta=4, solve for theta

Solved directly for one of the sides and then directly took the acos. But in this case, i see that taking the square of that cos expression makes it easier (without calculator) to solve for the angle.

🙏Sir, Thank you for the video! video time 12.46- Sir, does not the step sin(45+30) look very manipulative? Thanks again!

Nice description

Nice

Then what is the length of AB and BC?

This triangle is impossible

Angle teta=74°

asnwer=1 isit