please help me . Is the roped off area triangle ABC, a right triangle ?

yes a right triangle is and angle that is a angle at 90 degrees. A quick method if you don't ha protractor to measure is to measure the angle on a piece of paper like a posted note or note card since all the angles are 90 on them then see if they match up.
Answer:
Yes
Step-by-step explanation:
It is a right angle because it is 90 degrees.
Also,you can tell its a right angle because the variables a, b, and c
represent the Pythagorean Theorem which is used for finding missing lengths of a right triangle.
I didnt see the part at the bottom but the explanation for that would be
50+40> 30 True 40 squared + 30 squared= 50 squared
50+30> 40 True or 1600+900=2500
40+30> 50 True 2500=2500