DG¯¯¯¯¯¯ , EG¯¯¯¯¯ , and FG¯¯¯¯¯ are perpendicular bisectors of the sides of △ABC . BE=3 cm and GE=4 cm.What is AG ?Enter your answer in the box.

Accepted Solution

Answer:your answer is 5.Step-by-step explanation:all the sides are the same because of the right angle signs; that means the lines are 90 degrees and are midway markers in this triangle. for example, the midway markers mean EC is 3 as well, and BEC is 6, since 3+3=6.so since we know ge is 4, and we know be is 3, we know ad = be and dg = eg. find the hypotenuse of these two bad boys. a^2+b^2=c^2.now plug in variables: 3^2+4^2=ag^2. 9+16=25. find the square root of the hypotenuse (because we need ag, not ag^2). your answer is five, and you're done. :)