Answer:
BD - AC = 0
Step-by-step explanation:
Given that:
BC = 36 , CD = 15 and BD = x
As these are forming right angled triangle,
Using Pythagorean theorem,
[tex](BD)^2+(CD)^2=x^2\\(36)^2+(15)^2 = x^2\\1296 + 225 = x^2\\1521 = x^2\\[/tex]
Taking square root on both sides
[tex]\sqrt{x^2}=\sqrt{1521}\\x=39[/tex]
As the given shape is rectangular, the sides parallel to each other will have same values.
AB = 15 , AD = 36 and AC = x
[tex](15)^2+(36)^2 = x^2 \\225 + 1296 = x^2 \\1521 = x^2 \\x = 39[/tex]
Now,
BD - AC = 39 - 39 = 0
Hence,
BD - AC = 0
