Square ABCD has side length 13,and points E and F are exterior to the square such that BE=DF=5 and AE=CF=12, find EFsquare.

Asked by Kp | 9th Apr, 2017, 07:30: PM

Expert Answer:

The image is as below:
 
 
Construction: 
Extend AE, DF and BE, CF.
 
 

Given square ABCD can be inscribed inside another square EHFG.

Now, length of side of square EHFG = 17 cm.

begin mathsize 14px style EF squared equals 17 squared plus 17 squared equals 289 plus 289 equals 578 end style

Answered by Rashmi Khot | 10th Apr, 2017, 09:54: AM