(a) In a marathon, you started from checkpoint A and ran 5 km towards West. The checkpoint you reached was B. Then, you again ran for 12 km towards North and reached checkpoint C. Find the length of the shortest path which you must take to reach the finishing checkpoint A. (b) Show that the angles of an equilateral triangle are 60° each. [4 MARKS]

(a) In a marathon, you started from checkpoint A and ran 5 km towards

1.	(a) In a marathon, you started from checkpoint A and ran 5 km towards West. The checkpoint you reached was B. Then, you again ran for 12 km towards North and reached checkpoint C. Find the length of the shortest path which you must take to reach the finishing checkpoint A. (b) Show that the angles of an equilateral triangle are 60° each. [4 MARKS]
Answer» (a) In a marathon, you started from checkpoint A and ran 5 km towards West. The checkpoint you reached was B. Then, you again ran for 12 km towards North and reached checkpoint C. Find the length of the shortest path which you must take to reach the finishing checkpoint A. (b) Show that the angles of an equilateral triangle are 60° each. [4 MARKS]