In rectangle DATE, the diagonals DT and AE intersect as S. If LaTeX: AE=40 A E = 40 and LaTeX: ST=x+5 S T = x + 5 , find the value of x.
Accepted Solution
A:
For this case we have the following diagonals: AE = 40 ST = x + 5 The intersection of the diagonals occurs when: AE = ST Therefore, matching we have: 40 = x + 5 Clearing x we have: x = 40-5 x = 35 Answer: The value of x is: x = 35